Question 5 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY
Jack and Susie want to save to buy a trampoline for their children. They each open a savings account that earns 1 point 5 percent a year. Jack opens his account with 1 dollars comma 000 , and Susie opens her account with 800 dollars x is equal to number of years The following functions represent the value of the savings accounts in x years: Jack’s savings account: f of x is equal to 1000 times 1 point 0 1 5 to the x th power Susie’s savings account: g of x is equal to 800 times 1 point 0 1 5 to the x th power Which function represents the total amount Jack and Susie will save in x years?
Answer
A
1800 times 1 point 0 3 0 to the x th power
B
1800 times 1 point 0 1 5 raised to the 2 x power
C
1800 times 1 point 0 1 5 to the x th power
D
200 times 1 point 0 1 5 to the x th power
Explanation
Add the two account values for the same number of years: f(x) + g(x) = 1000(1.015)^x + 800(1.015)^x. Since both terms have the same growth factor, add their starting amounts: (1000 + 800)(1.015)^x = 1800(1.015)^x. This is choice D.
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