Question

A car wash charges two prices depending on the size of the vehicle. The table shows the number of cars and the number of SUVs washed in the past 3 hours. The total earnings for hours 1 and 2 are given. Each car costs the same price, and each SUV costs the same price. The system of equations can be used to represent the situation.

In the system of equations, x represents the, _____and y represents the_____.

If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are______.

The total cost of 1 car and 1 SUV is $_____.

The total earnings for hour 3 are $______.


The missing part of the picture is:
4x + 2y = 84
3x + 5y = 126

Answer 1

see below

Explanation:

In the system of equations, x represents the, price to wash a car and y represents the price to wash an SUV.

If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are the price of the car wash (x) and the price of the SUV wash (y)______.

x=12 and y = 18

x+y = 12+18 = 30

The total cost of 1 car and 1 SUV is $_30____.

5x+4y = 5(12)+4(18) = 60+ 72 =132

The total earnings for hour 3 are $_132_____.

Answer 2

x: cost of 1 car wash

y: cost of each SUV wash

(12,18)

The total cost of 1 car and 1 SUV is $30

The total earnings for hour 3 are $132

Explanation:

4x + 2y = 84

y = 42 - 2x

3x + 5y = 126

3x + 210 - 10x = 126

7x = 84

x = 12

y = 42 - 2(12) = 18

1 car and 1 SUV

12 + 18 = 30

For 3 hours:

5x + 4y

5(12) + 4(18)

132