Question

The chess club decided to raise money with a car wash. They spent $27 on supplies and charged $5 for each car they washed. Which graph models the chess club's profit based on the number of cars washed?

Answer 1

Answer:

The 3rd graph

Step-by-step explanation:

Let the clubs profit be denoted as $y$

and the number of cars washed be denoted by $x$

Then, the profit made is given by the relationship;

$y=5x-27$

In the first graph, the y-intercept (point where x=0) is 30.

Now lets evaluate it to see if it satisfies the relationship above

When x=0,

$y=0*5-27\\y=-27$

As as proven above, the y-intercept is -27 and not 30 or 20 as shown in graph 2.

Therefore, the third graph is the correctly models the profits of the chess club.

as further proof, the x-intercept,point where y=0, is computed as

$y=5x-27\\0=5x-27\\5x=27\\x=\frac{27}{5}\\ x=5.4$