Ashton works as a marketing manager for a consumer products firm. His total earnings, A, in x months is given by the function A (x) = 2,400x + 40x2. His total savings, S, in x months is given by the function S (x) = 250x + 500.

Write a function that represents Ashton's total expenses in months.

How much would Ashton's expenses be over 3 years?

Question

Mathematics

Brian Combs

17 July, 21:21

Ashton works as a marketing manager for a consumer products firm. His total earnings, A, in x months is given by the function A (x) = 2,400x + 40x2. His total savings, S, in x months is given by the function S (x) = 250x + 500.

Write a function that represents Ashton's total expenses in months.

How much would Ashton's expenses be over 3 years?

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Answers (1)

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Priscilla Boyle · Answer 1

If A (x) is his total earnings and S (x) is his total savings, his total expenses is the difference between his total earnings and total savings.

A (x) = 2400x + 40x^2

S (x) = 250x + 500

let E (x) be the total expenses:

E (x) = A (x) - S (x)

E (x) = 2400x + 40x^2 - (250x + 500)

E (x) = 40x^2 + 2150x - 500