Question

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 account has the highest value in 3 years? Which account has the highest value in 10 years?

Answer 1

hi ! any idea ?

Answer 2

there are f(x) and g(x) ,yes ?

how you think what are the values of x ?

Answer 3

are you here please ? so please collaborate

Answer 4

Since you are gone

You would have to substitute 3 into both equations to see which is greater at both. Then substitute 10 into both to see which is greater at 10 years

For 3 years:
\(f(x) = 5(3) + 150=> \boxed{165}\)
\(g(x) = 150(1.03)^{3}\approx> \boxed{163.909}\)

f(x) is greater here (After 3 years)

For 10 years:
\(f(x) = 5(10) + 150=> \boxed{200}\)
\(g(x) = 150(1.03)^{10}\approx> \boxed{201.587}\)

g(x) is greater (After 10 years)