Question

The Palm Beach High Swimming Team is holding a car wash to raise money

Answer 1

Answer:

Step-by-step explanation:

From the graph attached,

Relation between the amount of money raised and number of car washed is represented by a straight line.

Let the equation of the line is,

y = mx + b

where m = slope of the line = charges for each car wash

b = y-intercept = Initial amount the team have before the car wash.

Slope of the line will define the charges of car wash for each car.

Since, slope of the line passing through $(x_1,y_1)$ and $(x_2,y_2)$ is,

m = $\frac{y_2-y_1}{x_2-x_1}$

Therefore, slope of the line passing through (0, 100) and (10, 150) will be,

m = $\frac{150-100}{10-0}$

m = 5

Therefore, charges of each car wash will be = $5

y-intercept of the line 'b' = 100

Equation of the line will be,

y = 5x + 100

If team wants to earn $300,

300 = 5x + 100

5x = 200

x = 40

Therefore, 40 cars will be needed to wash by the swim team to earn $300.