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A car wash charges two prices depending on the size of the vehicle. The table shows the number of cars washed, the number of SUVs washed, and the total earnings for the past 2 hours. Each car costs the same price, and each SUV costs the same price. The system of equations can be used to represent the situation. Use the drop-down menus to complete each statement

A car wash charges two prices depending on the size of the vehicle The table shows the number of cars washed the number of SUVs washed and the total earnings fo class=


Answer :

sqdancefan

Answer:

  • x: the price of washing a car
  • y: the price of washing an SUV
  • (12, 18)
  • $30

Step-by-step explanation:

You want various answers related to a system of equations describing a car wash situation.

Variables

The table gives the number of each kind of vehicle washed, and the total revenue from washing those vehicles.

We know that revenue is the product of items sold and their cost. The table indicates sale of 2 car washes and 1 SUV wash for revenue of $42. The first equation is ...

  2x +y = 42

Comparing numbers, it appears that the value 42 in the equation is the revenue, and the coefficients 2 and 1 are the numbers of cars and SUVs that were washed.

This means the variables x and y stand for the cost of washing the respective vehicles.

  x represents the cost of washing a car
  y represents the cost of washing an SUV

Intersection

The point of intersection of the two lines has coordinates (x, y) = (12, 18). This is shown in the attached graph. (It is convenient to use a graphing tool to draw the graphs of the equations.)

Sum

The sum of costs of washing a single car and a single SUV will be the sum of the values of x and y found. (12 +18 = 30)

  washing 1 car + 1 SUV costs $30

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