Question

Noel has an initial account balance of $4,000. For the next five months, her account balance increases by $1,000 per month. After that, her account balance, b, decreases by $1,000 per month, t. Which statements are true for this situation?
A.) The equation that models the account balance is b = -|1,000t − 5,000| + 9,000.
B.) The equation that models the account balance is b = -|1,000t − 9,000| + 9,000.
C.) The equation that models the account balance is b = -|1,000t − 9,000| + 4,000.
D.) Noel’s account balance will be $7,000 in 3 months and 7 months.
E.) Noel’s account balance will be $7,000 in 7 months and 11 months.

Answer 1

PLATO Answer: A and D ONLY!

Sorry to the other person who answered but It´s NOT C for plato users.

Hope I really helped, have a wonderful day!

Answer 2

Initial balance = $4,000
In the first 5 months, b = 4000 + 1000t, for 0 ≤ t≤ 5
Thereafter
b = 4000 + 1000t (0≤t≤5)- 1000t (t>5) = -|1000t-5000|+9000

In addition,
After 3 moths;
b = 4000+1000*3 = 4000+3000 = $7000

After 7 moths;
b = 4000+1000*5-1000*2 = 4000+5000-2000 = $7000

Therefore, statements A, C and D are true for this situation.