The correct option is B.
If the posters cost $40 each, the number sold is about 0.
This interpretation is based on the y-intercept of the line of best fit, which represents the value of y (number of posters sold) when x (cost per poster) is 0. Therefore, when the cost per poster is $40, the number of posters sold is approximately 0.
The scatter plot below shows how the number of posters sold each day at a museum is related to the cost per poster.
The museum manager drew the line of best fit on the scatter plot. Which statement best interprets the meaning of the y-intercept of the line of best fit?
A.
For each $1 increase in the price of the posters, about 1 fewer poster is sold.
B.
If the posters cost $40 each, the number sold is about 0.
C.
For each $1 increase in the price of the posters, about 1 more poster is sold.
D.
If the posters are free, about 40 posters are given away.
what is the correct option?
5 answers
Xavior took a total of 124 quarters and dimes to trade in for cash at the bank. He got exactly $25 back. How many quarters did he have?
A.
40
B.
62
C.
84
D.
100
what is the correct option?
A.
40
B.
62
C.
84
D.
100
what is the correct option?
Let's assume that x represents the number of quarters Xavior had, and y represents the number of dimes he had.
From the given information, we can form two equations:
1) x + y = 124 (equation 1 - the total number of quarters and dimes is 124)
2) 0.25x + 0.10y = 25 (equation 2 - the total value of quarters and dimes is $25)
To solve this system of equations, we can use either substitution or elimination. In this case, elimination is easier.
By multiplying equation 1 by 0.10, and equation 2 by 100, we get:
0.10x + 0.10y = 12.4 (equation 3)
25x + 10y = 2500 (equation 4)
Now, subtract equation 3 from equation 4:
25x + 10y - (0.10x + 0.10y) = 2500 - 12.4
24.9x + 9.9y = 2487.6
Now, divide both sides of the equation by 0.1:
249x + 99y = 24876
Since x and y represent the number of quarters and dimes respectively, they must be whole numbers. Looking at the equation above, we can conclude that both x and y must be divisible by 99.
The only answer choice that satisfies this condition is option D. 100 quarters can be evenly divided by 99, whereas the other answer choices cannot.
From the given information, we can form two equations:
1) x + y = 124 (equation 1 - the total number of quarters and dimes is 124)
2) 0.25x + 0.10y = 25 (equation 2 - the total value of quarters and dimes is $25)
To solve this system of equations, we can use either substitution or elimination. In this case, elimination is easier.
By multiplying equation 1 by 0.10, and equation 2 by 100, we get:
0.10x + 0.10y = 12.4 (equation 3)
25x + 10y = 2500 (equation 4)
Now, subtract equation 3 from equation 4:
25x + 10y - (0.10x + 0.10y) = 2500 - 12.4
24.9x + 9.9y = 2487.6
Now, divide both sides of the equation by 0.1:
249x + 99y = 24876
Since x and y represent the number of quarters and dimes respectively, they must be whole numbers. Looking at the equation above, we can conclude that both x and y must be divisible by 99.
The only answer choice that satisfies this condition is option D. 100 quarters can be evenly divided by 99, whereas the other answer choices cannot.
A miniature golf course charges different prices for adults and children. On Saturday, 50 adults and 50 children played, and the golf course earned $800. On Sunday, 65 adults and 75 children played, and the golf course earned $1,100. How much does the golf course charge for adults?
A.
$6
B.
$8
C.
$10
D.
$16
what is the correct option?
A.
$6
B.
$8
C.
$10
D.
$16
what is the correct option?
Let's assume that the price for adults is A dollars and the price for children is C dollars.
From the given information, we can form two equations:
1) 50A + 50C = 800 (equation 1 - the total earnings on Saturday)
2) 65A + 75C = 1100 (equation 2 - the total earnings on Sunday)
Now, let's solve this system of equations. We can use either substitution or elimination. In this case, elimination is easier.
By multiplying equation 1 by 75, and equation 2 by 50, we get:
3750A + 3750C = 60000 (equation 3)
3250A + 3750C = 55000 (equation 4)
Now, subtract equation 4 from equation 3:
3750A + 3750C - (3250A + 3750C) = 60000 - 55000
500A = 5000
A = 10
Therefore, the golf course charges $10 for adults.
The correct option is C. $10.
From the given information, we can form two equations:
1) 50A + 50C = 800 (equation 1 - the total earnings on Saturday)
2) 65A + 75C = 1100 (equation 2 - the total earnings on Sunday)
Now, let's solve this system of equations. We can use either substitution or elimination. In this case, elimination is easier.
By multiplying equation 1 by 75, and equation 2 by 50, we get:
3750A + 3750C = 60000 (equation 3)
3250A + 3750C = 55000 (equation 4)
Now, subtract equation 4 from equation 3:
3750A + 3750C - (3250A + 3750C) = 60000 - 55000
500A = 5000
A = 10
Therefore, the golf course charges $10 for adults.
The correct option is C. $10.
1 answer