Cheyanne plans to put $150 into a savings account. She can place her money into an account represented by f (x) = 5x+150, or into another account represented by g (x) = 150 (1.03) ^x. Which of thses accounts has the highest value in 3 years and the highest value in 10 years?

In order to calculate the amount, we simply substitute the number of years into x in both equations.

After 3 years:

f (3) = 5 (3) + 150

= $165

g (3) = 150 * 1.03 ⁽³⁾

= $163.90

After 10 years:

f (10) = 5 (10) + 150

= $200

g (10) = 150 * 1.03 ⁽¹⁰⁾

= $201.59

After three years, the first account has more money but after ten years, the second account has more money.