In addition to his hourly wage, albert earns bonus when the amount of money collected is greater than the cost to print the total number of programs he sold. His bonus is equal to 1/2 of the difference between the amount of money collected. M(x)=2.50x and the cost c(x) = 0.5x + 40

Complete question is;

In addition to his hourly wage, albert earns bonus when the amount of money collected is greater than the cost to print the total number of programs he sold. His bonus is equal to 1/2 of the difference between the amount of money collected M(x) = 2.50x and the cost c(x) = 0.5x + 40

How much does Albert earn as bonus when he sells 309 baseball programs?

Bonus earned for selling 309 baseball programs = $289

Step-by-step explanation:

We are given formula for amount collected as;M(x) = 2.50x

Now, if he sells 309 baseball programs, it means, amount collected is;

M(309) = 2.5(309) = $772.5

We are told cost formula is;

c(x) = 0.5x + 40

Thus;

c(309) = 0.5(309) + 40

c(309) = $194.5

We are told that his bonus is when the amount of money collected is greater than the cost to print the total number of programs he sold.

Thus;

Bonus = $772.5 - $194.5

Bonus = $578

We are told he earns ½ of the bonus.

Thus, he earns ; ½ × 578 = $289

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