Question

Select the correct answer from each drop-down menu. 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. The function E(x) = represents Ashton’s total expenses in x months. Ashton’s expenses for 3 years total $

Answer 1

• E(x) = 40x² + 2150x - 500
• E(36) = $128740

Explanation:

• Earnings = A(x)
• Savings = S(x)
• Expenses = E(x)

Savings = Earnings - Expenses ⇒ Expenses = Earnings - Savings

• E(x) = A(x) - S(x)
• E(x) = 2400x + 40x² - (250x + 500)
• E(x) = 2400x + 40x² - 250x - 500
• E(x) = 40x² + 2150x - 500

E(3 years) = E(36 months)

• E(36) = 40*36² + 2150*36 - 500= $128740