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.

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19020498 19020498 · Answer 1 · 2018-07-03T16:05:21+02:00

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

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FelisFelis FelisFelis · Answer 2 · 2019-09-04T09:57:19+02:00

Answer:

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

Step-by-step explanation:

Consider the provided equation.

[tex]y=0.75x [/tex]

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.

[tex]y=0.75(700) [/tex]

[tex]y=525[/tex]

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