Question

A school basketball team has an expense account and a fundraising account. After t

Answer 1

1) the  expression that gathers the  expenses and the  income is the utility function and is defined by U(t) = I(t)-G(t), where I(t) is income and G(t)  is expenses, the simplest form that represents the total amount of the balance of the expense account is,  for this exercise I(t) = 275+48t and G(t) = 450-70t 

PART A

U(t)= 275+48t-(450-70t) ⇒U(t) = 275+48 t-450+70t⇒U(t) = 118t -175

PART B

For f(t) = (275+48t)  the total amount (in dollars)  after 9 weeks?

it is f(9) = [(450 - 70(9)]=   $220

for f(t) =275 +48t ,the total amount in dollars after 9 weeks is   f(9) = 275+48(9) = $ 707