Question

A school basketball team has an expense account and a fundraising account. After tt weeks, the balance of the expense account is (400−40t)(400−40t) dollars and the balance of the fundraising account is (150+32t)(150+32t) dollars.
a. Write an expression in simplest form that represents the total amount (in dollars) in both accounts after tt weeks.

An expression is (

550−72t) dollars.


b. What is the total amount (in dollars) in both accounts after 12 weeks?


Amount after 12 weeks: $

Answer 1

Answer:

a. 550-8t

b. 454 dollars

Step-by-step explanation:

a. Calling t the number of weeks, the balance in the first account is

$(400-40t)$

while the balance in the second account is

$(150+32t)$

So, the total amount in both accounts is the sum of the balances of the two accounts:

$(400-40t)+(150+32t)=(400+150)+(-40t+32t)=550-8t$

b. To find the total amount in both accounts after 12 weeks, we just need to substitute t=12 into the total balance, and we find:

$550-8t=550-8\cdot 12=550-96=454$