Question

You are president of the high school band booster club. You have arranged for the school’s jazz band to perform at a local coffee shop for three hours. In exchange for the performance, the booster club will receive three-quarters of the shop’s gross receipts during that three-hour period. The equation y=0.75x relates the x (the independent variable representing the gross receipts) and y (the dependent variable representing the booster’s share).Using the graph below determine the booster’s share if the total gross receipts were $700.

Answer 1

booster's share =y =0.75x
gross receipts=x=700
plug x=700 in y=0.75x
y=0.75*700
y=525

Answer 2

The booster’s share is $525 if the total gross receipts were $700.

Explanation:

Consider the provided equation.

`y=0.75x`

Where x representing the gross receipts and y representing the booster’s share.

We need to find the booster’s share if the total gross receipts were $700.

The graph of the provided equation is shown in figure 1.

From the graph it can be concluded that at x = 700 the value of y = 525

Thus, if the total gross receipts were $700 then the booster’s share is $525.

We can verify this by substituting the value of x = 700 in the provided equation.

`y=0.75(700)`

`y=525`

Hence, the booster’s share is $525 if the total gross receipts were $700.