McGraw Hill Glencoe Algebra 1 Texas, 2016
MH
McGraw Hill Glencoe Algebra 1 Texas, 2016 View details
6. Growth and Decay
Continue to next subchapter

Exercise 1 Page 433

To model the salary use an exponential growth equation.

About $37 734.73

Practice makes perfect
We can model the salary of Ms. Acosta with an exponential growth equation. y= a(1+ r)^tHere, a is the initial amount, r is the rate of change expressed as a decimal. We know that the starting salary is $ 34 000, and it increases 1.5 % every year. Then a= 34 000, and r= 1.5 %, or 0.015. y= 34 000(1+ 0.015)^t ⇔ y=34 000(1.015)^t Now we can find her salary in 7 years. To do so, we will substitute 7 for t in the function.
y=34 000(1.015)^t
y=34 000(1.015)^()darkviolet7
Evaluate right-hand side
y=34 000(1.10984 ...)
y=37 734.72703 ...
y≈ 37 734.73
Ms. Acosta will earn about $37 734.73 in 7 years.