Question
A cab company charges $12 per mile for a lift to the airport. What change would the company make to their charges to make this a non proportional situation?
• Charge $15 per mile instead of $12
• Charge a flat rate of $20 and then $12 per mile
• Charge $4 per mile instead of $12
• No changes are needed.
• Charge $15 per mile instead of $12
• Charge a flat rate of $20 and then $12 per mile
• Charge $4 per mile instead of $12
• No changes are needed.
Answers
Answer
6. One business charges $22 per t-shirt that is custom made.
Another business charges $16 per t-shirt plus a $15 set up fee for custom made t-shirts.
How would you transform the first graph to make it become a non proportional graph with the same y-intercept as the second graph?
(1 point)
Responses
Down 4
Down 4
Left 15
Left 15
Up 4
Up 4
Down 15
Down 15
Up 15
Up 15
Right 4
Another business charges $16 per t-shirt plus a $15 set up fee for custom made t-shirts.
How would you transform the first graph to make it become a non proportional graph with the same y-intercept as the second graph?
(1 point)
Responses
Down 4
Down 4
Left 15
Left 15
Up 4
Up 4
Down 15
Down 15
Up 15
Up 15
Right 4
Answer
7. Solve this equation for y: 7y=12x
(1 point)
Responses
y=712x
y is equal to 7 over 12 x
y=12x+7
y is equal to 12 x plus 7
y=127x
y is equal to 12 sevenths x
y=12x−7
(1 point)
Responses
y=712x
y is equal to 7 over 12 x
y=12x+7
y is equal to 12 x plus 7
y=127x
y is equal to 12 sevenths x
y=12x−7
Answer
7. Solve this equation for y: 7y=12x
(1 point)
Responses
y=7/12x
y is equal to 7 over 12 x
y=12x+7
y is equal to 12 x plus 7
y=12/7x
y is equal to 12 sevenths x
y=12x−7
(1 point)
Responses
y=7/12x
y is equal to 7 over 12 x
y=12x+7
y is equal to 12 x plus 7
y=12/7x
y is equal to 12 sevenths x
y=12x−7
Answer
7. Solve this equation for y: 7y=12x
(1 point)
a. y=7/12x
b. y=12x+7
c. y=12/7x
d. y=12x−7
(1 point)
a. y=7/12x
b. y=12x+7
c. y=12/7x
d. y=12x−7
Answer
Change the equation from standard form to slope-intercept form by solving for y.
8x−4y=24
Determine who changed the equation correctly:
Bob:
Subtract 8x from both sides: −4y=−8x+24
Divide by -4 on both sides: y=2x−6
Bill:
Subtract 8x from both sides: −4y=16x
Divide by -4 on both sides: y=−4x
Bud:
Subtract 8x from both sides: −4y=−8x+24
Divide by -4 on both sides: y=2x+24
(1 point)
Responses
Bill
Bill
Bob
Bob
Bud
Bud
None of them are correct
8x−4y=24
Determine who changed the equation correctly:
Bob:
Subtract 8x from both sides: −4y=−8x+24
Divide by -4 on both sides: y=2x−6
Bill:
Subtract 8x from both sides: −4y=16x
Divide by -4 on both sides: y=−4x
Bud:
Subtract 8x from both sides: −4y=−8x+24
Divide by -4 on both sides: y=2x+24
(1 point)
Responses
Bill
Bill
Bob
Bob
Bud
Bud
None of them are correct
Answer
9. Solve 3x+2b=6c
for x.
Step 1: 3x+2b−2b=6c−2b
subtract 2b from both sides
Step 2: 3x=6c−2b
combine like terms/simplify
Step 3: 3x3=6c3−2b
divide by 3 on both sides to get x isolated
Step 4: x=2c−2b
simplify/final answer
Which statement is TRUE?
(1 point)
Responses
The process has an error. The correct answer is x=4bc3
The process has an error. The correct answer is x is equal to the fraction with numerator 4 b c and denominator 3
The process has an error. The correct answer is x=−4b−c
The process has an error. The correct answer is x is equal to negative 4 b minus c
The process is correct.
The process is correct.
The process has an error. The correct answer is x=2c−23b
for x.
Step 1: 3x+2b−2b=6c−2b
subtract 2b from both sides
Step 2: 3x=6c−2b
combine like terms/simplify
Step 3: 3x3=6c3−2b
divide by 3 on both sides to get x isolated
Step 4: x=2c−2b
simplify/final answer
Which statement is TRUE?
(1 point)
Responses
The process has an error. The correct answer is x=4bc3
The process has an error. The correct answer is x is equal to the fraction with numerator 4 b c and denominator 3
The process has an error. The correct answer is x=−4b−c
The process has an error. The correct answer is x is equal to negative 4 b minus c
The process is correct.
The process is correct.
The process has an error. The correct answer is x=2c−23b
Answer
9. Solve 3x+2b=6c
for x.
Step 1: 3x+2b−2b=6c−2b
subtract 2b from both sides
Step 2: 3x=6c−2b
combine like terms/simplify
Step 3: 3x/3=6c/3−2b
divide by 3 on both sides to get x isolated
Step 4: x=2c−2b
simplify/final answer
Which statement is TRUE?
(1 point)
Responses
a. The process has an error. The correct answer is x=4bc/3
The process has an error. The correct answer is x is equal to the fraction with numerator 4 b c and denominator 3
b. The process has an error. The correct answer is x=−4b−c
The process has an error. The correct answer is x is equal to negative 4 b minus c
c. The process is correct.
The process is correct.
d. The process has an error. The correct answer is x=2c−2/3b
for x.
Step 1: 3x+2b−2b=6c−2b
subtract 2b from both sides
Step 2: 3x=6c−2b
combine like terms/simplify
Step 3: 3x/3=6c/3−2b
divide by 3 on both sides to get x isolated
Step 4: x=2c−2b
simplify/final answer
Which statement is TRUE?
(1 point)
Responses
a. The process has an error. The correct answer is x=4bc/3
The process has an error. The correct answer is x is equal to the fraction with numerator 4 b c and denominator 3
b. The process has an error. The correct answer is x=−4b−c
The process has an error. The correct answer is x is equal to negative 4 b minus c
c. The process is correct.
The process is correct.
d. The process has an error. The correct answer is x=2c−2/3b
Answer
10. Looking at the graph:
(3 points)
a. Triangles ABC and CDE are called
triangles.
b. The slope of the line AE can be written as
.
c. This is a
relationship.
(3 points)
a. Triangles ABC and CDE are called
triangles.
b. The slope of the line AE can be written as
.
c. This is a
relationship.
Answer
Katrina:
Time (seconds) Jumping Jacks
2 10
5 25
12 60
20 100(3 points)
a. Which person is doing more jumping jacks per second?
b. Which person had done more jumping jacks initially before the timer started?
c. Which person shows a proportional relationship?
Time (seconds) Jumping Jacks
2 10
5 25
12 60
20 100(3 points)
a. Which person is doing more jumping jacks per second?
b. Which person had done more jumping jacks initially before the timer started?
c. Which person shows a proportional relationship?
Answer
14. Suppose that the water level of a river is 45 feet after 3 days of no rain and 10 feet after 10 days of no rain. Given the two points we know: (3, 45) and (10, 10), what would the point slope equation look like?(1 point)
Responses
(y−3)=−5(x−45)
open paren y minus 3 close paren is equal to negative 5 times open paren x minus 45 close paren
(y+10)=−5(x−10)
open paren y plus 10 close paren is equal to negative 5 times open paren x minus 10 close paren
(y−45)=−5(x−3)
open paren y minus 45 close paren is equal to negative 5 times open paren x minus 3 close paren
(y−10)=−5(x+10)
Responses
(y−3)=−5(x−45)
open paren y minus 3 close paren is equal to negative 5 times open paren x minus 45 close paren
(y+10)=−5(x−10)
open paren y plus 10 close paren is equal to negative 5 times open paren x minus 10 close paren
(y−45)=−5(x−3)
open paren y minus 45 close paren is equal to negative 5 times open paren x minus 3 close paren
(y−10)=−5(x+10)
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