Question

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)*
Susie's savings account: g(x) = 800(1.015)
Which function represents the total amount Jack and Susie will save in x years?
200(1.015)
1800(1.015)
1800(1.015)2
1800(1.030)

Answer 1

Answer: 1,800(1.015)^{x}

Step-by-step explanation:

we have

f(x)=1,000(1.015)^{x}

g(x)=800(1.015)^{x}

we know that

To find the function that represent the total amount Jack and Suzie will save in x years, adds f(x) and g(x)

so

f(x)+g(x)=1,000(1.015)^{x}+800(1.015)^{x}

f(x)+g(x)=[1,000+800](1.015)^{x}

f(x)+g(x)=1,800(1.015)^{x}

Answer 2

`1,800(1.015)^(x)`

Explanation:

we have

`f(x)=1,000(1.015)^(x)`

`g(x)=800(1.015)^(x)`

we know that

To find the function that represent the total amount Jack and Suzie will save in x years, adds f(x) and g(x)

so

`f(x)+g(x)=1,000(1.015)^(x)+800(1.015)^(x)`

`f(x)+g(x)=[1,000+800](1.015)^(x)`

`f(x)+g(x)=1,800(1.015)^(x)`