Question

ngozi earns $24,000 in salary in the first year she works as an interpreter. each year, she earns a 3.5% raise. write a function that gives ngozis salary s(t), in dollars, t years after she starts to work as an interpreter. do not enter commas in your answer. s(t) =

Explanation:

Step1: Identify initial salary

Initial salary $P = 24000$

Step2: Convert raise to decimal

$3.5\% = \frac{3.5}{100} = 0.035$

Step3: Find growth factor

Growth factor $r = 1 + 0.035 = 1.035$

Step4: Write exponential function

Use exponential growth formula $S(t) = P \times r^t$

Answer:

$S(t)=24000(1.035)^t$