Jack and Susie want to save to buy a trampoline for their children. They each open a savings account that earns 1.5% a year. Jack opens his account with $1,000, and Susie opens her account with $800. x = number of yearsThe following functions represent the value of the savings accounts in x years:Jack’s savings account: f(x) = 1000(1.015)xSusie’s savings account: g(x) = 800(1.015)x Which function represents the total amount Jack and Susie will save in x years?
Add the two account values because the question asks for their total: 1000(1.015)^x + 800(1.015)^x. Both terms have the same growth factor, so combine the starting amounts: (1000 + 800)(1.015)^x = 1800(1.015)^x. This is choice B.
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