Question

Write a function in terms of t that represents the situation.

Your starting annual salary of $35,000 increases by
4% each year.

With instructions on how you did it please!!!

Answer 1

To represent the situation, the function can be written as f(t) = 35000 × (1 + 0.04)^t, where t represents the number of years into the future.

Step-by-step explanation:

To write a function in terms of t that represents the situation, we can start with the initial salary of $35,000 and then calculate the annual increase using the 4% growth rate.

We need to multiply the current salary by (1 + 0.04) to get the new salary for each year. The function can be written as:

f(t) = 35000 × (1 + 0.04)^t

Here, t represents the number of years into the future from the initial starting point.

For example, if you want to find the salary after 3 years, you can plug in t = 3 into the function.

Answer 2

S(t) = S0·(1 + rate)tS(t) = salary at year t
S0 = starting salary = $35,000
rate = 4% = 0.04
t = years