A jet ski company charges a flat fee of $24.00 plus $2.25 per hour to rent a jet ski. Another company charges a fee of $23.00 plus $2.50 per hour to rent the same jet ski.
Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer to the nearest whole hour.
a. 9
b. 8
c. 4***
d. 3
16 answers
I'm pretty sure this is correct, but don't have a graphing calculator to prove it. Can someone prove it for me?
there are lots of online graphers. Try typing your function in at wolframalpha.com as I did here:
http://www.wolframalpha.com/input/?i=24.00%2B2.25x+%3D+23.00%2B2.50x
http://www.wolframalpha.com/input/?i=24.00%2B2.25x+%3D+23.00%2B2.50x
Thanks Steve this helps a lot! Most other online graphing calculators are complicated and I do not understand them.
Linear Systems (part1)
1.B:(2,3) 2.C:4 3.B:(shaded on the right) 4.A:(x+y=7 6.50x+3.50y=33.50) 5.C:(3 quarters shaded at the top) 6.A:-4 7.C:6lbs(gc) 2lbs(jb) 5lbs(hc) 8.C:one solution 9.C:4x-7y=-12 -14x+4y=4 10.A:(3,-2)
1.B:(2,3) 2.C:4 3.B:(shaded on the right) 4.A:(x+y=7 6.50x+3.50y=33.50) 5.C:(3 quarters shaded at the top) 6.A:-4 7.C:6lbs(gc) 2lbs(jb) 5lbs(hc) 8.C:one solution 9.C:4x-7y=-12 -14x+4y=4 10.A:(3,-2)
Algebra 2 A Unit 4: Linear systems unit test (Part 1)
1. C. (1,2)
2. C. 4
3. C.
4. A. x+y=7 6.50x + 3.50y= 33.50
5. C.
6. D. -14
7. B. 4 lbs. gummy candy, 2 lbs. Jelly beans, 3 lbs. Hard candy
8. C. one solution
9. B. { 4x-7y=-12 -14x+4y=4
10. D. ( -1, -10)
1. C. (1,2)
2. C. 4
3. C.
4. A. x+y=7 6.50x + 3.50y= 33.50
5. C.
6. D. -14
7. B. 4 lbs. gummy candy, 2 lbs. Jelly beans, 3 lbs. Hard candy
8. C. one solution
9. B. { 4x-7y=-12 -14x+4y=4
10. D. ( -1, -10)
Linear Systems Unit Test Part 1:
1. (1, 2)
2. 4
3. Graph 2
4. x+y=700 | 2x+4.5y = 1200
5. Graph 5
6. -14
7. 6 lbs. gummy candy, 2 lbs. jelly beans, 5 lbs. hard candy
8. no solutions
9. 4x - 7y = -12 | -14x + 4y = 4
10. (3, -2)
---
Jordan_the_rat#0217
1. (1, 2)
2. 4
3. Graph 2
4. x+y=700 | 2x+4.5y = 1200
5. Graph 5
6. -14
7. 6 lbs. gummy candy, 2 lbs. jelly beans, 5 lbs. hard candy
8. no solutions
9. 4x - 7y = -12 | -14x + 4y = 4
10. (3, -2)
---
Jordan_the_rat#0217
1. "What is the apparent" graph intersects at A. (-2,2)
2. "a jet ski" C. 4
3. "5x-2y<10" A. or graph with the whole left side shaded
4."the sophomore class" B. x+y=700
5."y<-1/3x+6" D.
6."y>-1/2x+6" D. -6
7. "a candy store" C. 6lbs, 2lbs, 5lbs
8. "how many solutions 3x+2y=1" D. no solutions
9. "which linear systems 2 -3 10 matrix" A.2x-3y=10
10. 2x+5y=-4 what is the solution" A. (-3,2)
that is my version of the unit test anyways, and of you can't tell its the questions are summarized
2. "a jet ski" C. 4
3. "5x-2y<10" A. or graph with the whole left side shaded
4."the sophomore class" B. x+y=700
5."y<-1/3x+6" D.
6."y>-1/2x+6" D. -6
7. "a candy store" C. 6lbs, 2lbs, 5lbs
8. "how many solutions 3x+2y=1" D. no solutions
9. "which linear systems 2 -3 10 matrix" A.2x-3y=10
10. 2x+5y=-4 what is the solution" A. (-3,2)
that is my version of the unit test anyways, and of you can't tell its the questions are summarized
What is the apparent solution to the system of equations graphed above: (-2, 2)
A jet ski company charges a flat fee of $24...: 4
Which graph represents the following system {-3x+y<1 -x+y-< 2}: full shaded right side
A local amusement par charges $21.50...: {x+y=12 21.50x+14.75y=204}
Which graph best represents the feasibility region for the system shown above: Graph shaded just in the shape
What is the minimum value for P=x-2y...: -14
A candy store makes an 11-pound mixture...: 6lbs gummy, 3lbs jelly, 2lbs hard candy
How many solutions does the following system have {3x+2y=1 -6x-4y=-2}: infinitely many solutions
Which linear system of equations does the matrix rep [-3 5 | 15 2 3 | -10]: {-3+5y=15 2x+3y=-10}
{2x+5y=-4 4x-5y=22} solution: (3, -2)
trust u will get 10/10 i just did
A jet ski company charges a flat fee of $24...: 4
Which graph represents the following system {-3x+y<1 -x+y-< 2}: full shaded right side
A local amusement par charges $21.50...: {x+y=12 21.50x+14.75y=204}
Which graph best represents the feasibility region for the system shown above: Graph shaded just in the shape
What is the minimum value for P=x-2y...: -14
A candy store makes an 11-pound mixture...: 6lbs gummy, 3lbs jelly, 2lbs hard candy
How many solutions does the following system have {3x+2y=1 -6x-4y=-2}: infinitely many solutions
Which linear system of equations does the matrix rep [-3 5 | 15 2 3 | -10]: {-3+5y=15 2x+3y=-10}
{2x+5y=-4 4x-5y=22} solution: (3, -2)
trust u will get 10/10 i just did
1) (-2,2)
2) 4
3) 1st graph/most shaded on left side
4) a/ x+y=7 6.50x +3.50y = 33.5
5) d or the shape least shaded
6) -1
7) 6lb of gummy candy, 3lb of jellybeans, 2lb of hard candy.
8) no solutions
9) 4x-7y=-12
-14x +4y=4
10) (-7, 25/3)
2) 4
3) 1st graph/most shaded on left side
4) a/ x+y=7 6.50x +3.50y = 33.5
5) d or the shape least shaded
6) -1
7) 6lb of gummy candy, 3lb of jellybeans, 2lb of hard candy.
8) no solutions
9) 4x-7y=-12
-14x +4y=4
10) (-7, 25/3)
1. (-2,2)
2. 2
3. B/The right side of the graph shaded.
4. {x+y=700/2x+4.5y=1200}
5. C/ The graph LEAST shaded. Doesn't go over any lines.
6. -4
7. 4lbs. Gum, 2lbs. Jelly, 3lbs Hrd Can
8. No solutions
9. {2x-3y=10/5x+6y=-12
10. (3,-2)
2. 2
3. B/The right side of the graph shaded.
4. {x+y=700/2x+4.5y=1200}
5. C/ The graph LEAST shaded. Doesn't go over any lines.
6. -4
7. 4lbs. Gum, 2lbs. Jelly, 3lbs Hrd Can
8. No solutions
9. {2x-3y=10/5x+6y=-12
10. (3,-2)
Anyone have part 2?
Not me getting 5/10 ugh.. These are the real ones.
1. A (-2,2)
2. C : 4
3. B (left shade most).
4. B (x+y=7)
5. C (don't know how to explain)
6. D : -1
7. C ( 6lbs gummy candy)
8. A (infinitely many solutions)
9. A. (2x-3y=10, 5x+6y=-12)
10. C (7, 25/3)
YOU ARE WELCOME!!! 100%
1. A (-2,2)
2. C : 4
3. B (left shade most).
4. B (x+y=7)
5. C (don't know how to explain)
6. D : -1
7. C ( 6lbs gummy candy)
8. A (infinitely many solutions)
9. A. (2x-3y=10, 5x+6y=-12)
10. C (7, 25/3)
YOU ARE WELCOME!!! 100%
1. C
2. C
3. A
4. A
5. C
6. D
7. A
8. C
9. B
10. C
If you don't trust me I get it because people have led me to the wrong answer before, im just trying to make the world a better place 🤙🏿
2. C
3. A
4. A
5. C
6. D
7. A
8. C
9. B
10. C
If you don't trust me I get it because people have led me to the wrong answer before, im just trying to make the world a better place 🤙🏿
1. What is the apparent solution to the system of equations graphed above?
(1,2)
2. A jet ski company charges a flat fee of $24.00 plus $2.25 per hour to rent a jet ski. Another company charges a fee of $23.00 plus $2.50 per hour to rent the same jet ski.
4
3. Which graph best represents the solution to the following system?
A
4. A group of 7 people spent $33.50 on movie tickets. They paid $6.50 for each adult ticket and $3.50 for each child’s ticket. Which system of equations could be used to find x, the number of adult tickets purchased, and y, the number of children’s tickets purchased?
?
5. Which graph best represents the feasibility region for the system shown above?
D
6.What is the minimum value for z = –x + 3y over the feasibility region defined by the constraints shown above?
-1
7. A candy store makes an 11-pound mixture of gummy candy, jelly beans, and hard candy. The cost of gummy candy is $2.00 per pound, jelly beans cost $3.00 per pound, and hard candy costs $3.00 per pound. The mixture calls for two times as many gummy candy pieces as jelly beans. The total cost of the mixture is $27.00. How much of each ingredient did the store use?
A
8. How many solutions does the following system have?
No solutions
9. Which linear system of equations does the matrix represent?
B
10. What is the solution to the above system of equations?
(-1,-10)
(1,2)
2. A jet ski company charges a flat fee of $24.00 plus $2.25 per hour to rent a jet ski. Another company charges a fee of $23.00 plus $2.50 per hour to rent the same jet ski.
4
3. Which graph best represents the solution to the following system?
A
4. A group of 7 people spent $33.50 on movie tickets. They paid $6.50 for each adult ticket and $3.50 for each child’s ticket. Which system of equations could be used to find x, the number of adult tickets purchased, and y, the number of children’s tickets purchased?
?
5. Which graph best represents the feasibility region for the system shown above?
D
6.What is the minimum value for z = –x + 3y over the feasibility region defined by the constraints shown above?
-1
7. A candy store makes an 11-pound mixture of gummy candy, jelly beans, and hard candy. The cost of gummy candy is $2.00 per pound, jelly beans cost $3.00 per pound, and hard candy costs $3.00 per pound. The mixture calls for two times as many gummy candy pieces as jelly beans. The total cost of the mixture is $27.00. How much of each ingredient did the store use?
A
8. How many solutions does the following system have?
No solutions
9. Which linear system of equations does the matrix represent?
B
10. What is the solution to the above system of equations?
(-1,-10)
I just took the test and got 100% i gotchu
1. 1,2
2. 4
3. graph A
4. A x+y=7 6.50+3.50=33.50 x+y=33.50
5. Graph D (because it all stays in the lines)
6. -4
7. 6lbs gummy, 2lbs jelly beans, 5lbs hard candy
8. one solution
9. 2x-3y=10 5x+6y=-12
10. (-1, -10)
this is for connections academy 100% right
1. 1,2
2. 4
3. graph A
4. A x+y=7 6.50+3.50=33.50 x+y=33.50
5. Graph D (because it all stays in the lines)
6. -4
7. 6lbs gummy, 2lbs jelly beans, 5lbs hard candy
8. one solution
9. 2x-3y=10 5x+6y=-12
10. (-1, -10)
this is for connections academy 100% right
4.8.1 - Test: Linear Systems Unit Test Part 1
What is the apparent solution to the system of equations graphed above?
A.(3, 2)
B.(2, 3): Correct answer
C.(0, –3)
D.(0, 2)
A jet ski company charges a flat fee of $24.00 plus $2.25 per hour to rent a jet ski. Another company charges a fee of $23.00 plus $2.50 per hour to rent the same jet ski.
Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer to the nearest whole hour.
A.9
B.8
C.4:Correct answer
D.3
Which graph best represents the solution to the following system?
A. The graph that has a whole side shaded
A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child’s ticket. A group of 12 people paid $204.00 for tickets. Which system of equations could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased?
D.{x+y=12 21.50x+14.75y=204
Which graph best represents the feasibility region for the system shown above?
{x>=0 y<=8 y>=x y>=-1/2x+6
C.
What is the minimum value for z = –x + 3y over the feasibility region defined by the constraints shown above?
A.5
B.4
C.–4
D.–1: Correct answer
A candy store makes a 9-pound mixture of gummy candy, jelly beans, and hard candy. The cost of gummy candy is $2.00 per pound, jelly beans cost $3.00 per pound, and hard candy costs $3.00 per pound. The mixture calls for two times as many gummy candy pieces as jelly beans. The total cost of the mixture is $23.00. How much of each ingredient did the store use?
B.4 lbs. gummy candy, 2 lbs. jelly beans, 3 lbs. hard candy: Correct answer
How many solutions does the following system have?
{3x+2y=1 -9x-6y=3
D.no solutions: the correct answer
Which linear system of equations does the matrix represent?
[2 5 -3 6|10 -12]
A.{2x-3y=10 5x+6y=-12:Correct answer
What is the solution to the above system of equations?
{2x+5y=-4 4x-5y=22
A. (3,-2):Correct answer
What is the apparent solution to the system of equations graphed above?
A.(3, 2)
B.(2, 3): Correct answer
C.(0, –3)
D.(0, 2)
A jet ski company charges a flat fee of $24.00 plus $2.25 per hour to rent a jet ski. Another company charges a fee of $23.00 plus $2.50 per hour to rent the same jet ski.
Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer to the nearest whole hour.
A.9
B.8
C.4:Correct answer
D.3
Which graph best represents the solution to the following system?
A. The graph that has a whole side shaded
A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child’s ticket. A group of 12 people paid $204.00 for tickets. Which system of equations could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased?
D.{x+y=12 21.50x+14.75y=204
Which graph best represents the feasibility region for the system shown above?
{x>=0 y<=8 y>=x y>=-1/2x+6
C.
What is the minimum value for z = –x + 3y over the feasibility region defined by the constraints shown above?
A.5
B.4
C.–4
D.–1: Correct answer
A candy store makes a 9-pound mixture of gummy candy, jelly beans, and hard candy. The cost of gummy candy is $2.00 per pound, jelly beans cost $3.00 per pound, and hard candy costs $3.00 per pound. The mixture calls for two times as many gummy candy pieces as jelly beans. The total cost of the mixture is $23.00. How much of each ingredient did the store use?
B.4 lbs. gummy candy, 2 lbs. jelly beans, 3 lbs. hard candy: Correct answer
How many solutions does the following system have?
{3x+2y=1 -9x-6y=3
D.no solutions: the correct answer
Which linear system of equations does the matrix represent?
[2 5 -3 6|10 -12]
A.{2x-3y=10 5x+6y=-12:Correct answer
What is the solution to the above system of equations?
{2x+5y=-4 4x-5y=22
A. (3,-2):Correct answer
1 answer