algebra 1math problem help

Question

The hourly wage of some automobile plant workers went from $7.10 to $15.33 in 10 years (annual raises).

If their wages are growing exponentially what will be their hourly wage in 10 more years?

Round your answer to the nearest dime.

Answer 1

15.33=7.1e^10r

e^10r=15.33/7.1

10r=ln(15.33)

r=(ln15.33/7.1)/10=about .077= 7.7% annual growth rate

A= 15.33e^.077(10)

= 15.33e^.77

= about 33.109

= about $33.11

= about $33.10 in 10 more years rounded to nearest dime