Question

ngozi earns \$24{,}000$24,000dollar sign, 24, comma, 000 in salary in the first year she works as an interpreter. each year, she earns a 3.5\%3.5%3, point, 5, percent raise.

Answer 1

The function that Ngozi's salary s(t) in dollars, t years after she starts to work as an interpreter is given by $S = 24000 * (1.035)^t$.

What is a function?

• A function in mathematics from a set X(ax) to a set Y allocates exactly one element of Y to each element of X(ax).
• A relation between a collection of inputs and labor is known as a function.

You can use the fact that the raise is done on the previous year's salary.

Let the initial salary be P = $24000

After 1 year, her salary increased by R = 3.5% which, thus,

Total salary = P + increment

Similarly going on, we get

$P_t = P(1+ \frac{R}{100})^t = S$ (we can say)

Putting values of P(value of P) and R(value of R), we get

$S = 24000(1 + 0.035)^t = 24000 *(1.035)^t$

Thus,

The function that Ngozi's salary s(t) in dollars, t years after she starts to work as an interpreter is given by

$S = 24000 * (1.035)^t$

Learn more about function here:

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