Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function h(x) = 103. she reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.03)^(x − 1). after combining the two functions, the new function is g(x) = 103(1.03)^(x − 1). using complete sentences, explain what this new function means.

The new function shows that if you invest 103 dollars, then the amount of money she would have after (x) years.

Step-by-step explanation:

Given : Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function h(x) = 103.

She reads about a bank that has savings accounts that accrue interest according to the function

After combining the two functions, the new function is

To find : What this new function means?

Solution :  

The amount equation h(x) = 103 shows the amount of money she earned.

The interest equation shows that if you invest one dollar, that dollar investment will increase by 3 percent per year.  

i.e, There will have an increase of 3% in value per year.

The combined function shows that if you invest 103 dollars, then the amount of money she would have after (x) years.

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft