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