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 years

The following functions represent the value of the savings accounts in x years:

Jack’s savings account: f(x) = 1000(1.015)x

Susie’s savings account: g(x) = 800(1.015)x

Which function represents the total amount Jack and Susie will save in x years?

200(1.015)x
1800(1.015)x
1800(1.015)2x
1800(1.030)x

Respuesta :

The function that shows the total amount Jack and Susie will save in x years is 1800(1.015)ˣ

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let f(x) and g(x) represent the value in the savings account of Jack and Susie respectively after x years. Hence:

f(x) = 1000(1.015)ˣ, g(x) = 800(1.015ˣ

Hence:

Total savings = 1000(1.015)ˣ + 800(1.015)ˣ = (1.015)ˣ[1000 + 800] = 1800(1.015)ˣ

The function that shows the total amount Jack and Susie will save in x years is 1800(1.015)ˣ

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