Use the image to answer the question.
A solid line and a dotted line intersect on a coordinate plane. The point of intersection is plotted. The values on the x-axis range from 0 to 100 in increments of 5. The values on the y-axis range from 0 to 60 in increments of 5. Both lines slope downward from left to right. The solid line passes through left parenthesis 45 comma 60 right parenthesis, left parenthesis 60 comma 40 right parenthesis, left parenthesis 80 comma 20 right parenthesis, and left parenthesis 100 comma 0 right parenthesis. The dotted line passes through left parenthesis 20 comma 60 right parenthesis, left parenthesis 50 comma 40 right parenthesis, and left parenthesis 100 comma 10 right parenthesis. A point is plotted where the solid line and the dotted line intersect at left parenthesis 75 comma 25 right parenthesis.
Interpret the graph to find the solution for the following scenario. How do you know this is a reasonable answer?
The players on a softball team held a car wash to raise money for new uniforms. They charged $5 per car and $8 per truck or SUV. If they earned a total of $575 by washing 100 vehicles, how many cars and how many trucks/SUVs did they wash? Let x represent the number of cars and y represent the number of trucks/SUVs.
(1 point)
Responses
(35,50); This is a reasonable answer because if you substitute the numbers for x and y in the equation 5x+8y=575, the equation is true.
(80,20); This is a reasonable answer because if you substitute the numbers for x and y in the equation x+y=100, the equation is true.
(75,25); This is a reasonable answer because if you substitute the numbers for x and y in each equation, the equations are true.
(25,75); This is a reasonable answer because if you substitute the numbers for x and y in each equation, the equations are true.