This item has two parts: Part A and Part B. Use the information and table to complete Part A and Part B.

Jennifer’s bank account is modeled by the following equation where x equals the number of weeks and f(x) equals the total balance.

f(x) = 12x + 45

The balance of William’s bank account is modeled in the table.

Weeks 0 1 2 3 4
Total Balance ($) 30 44 58 72 86


Part A
What function represents the balance of William’s bank account?

g(x) = 14x + 30

g(x) = 30x

g(x) = 30x + 14

g(x) = 14x

Part B
Jennifer claims that her bank account is growing at a greater rate of change than William’s bank account. Is Jennifer CORRECT?

No, because her rate of change is $ 45 per week which is less than William’s rate of change.

Yes, because her rate of change is $ 12 per week which is more than William’s rate of change.

Yes, because her rate of change is $ 45 per week which is more than William’s rate of change.

No, because her rate of change is $ 12 per week which is less than William’s rate of change.