Question

Leah just accepted a job at a new company where she will make an annual salary of $65000. Leah was told that for each year she stays with the company, she will be given a salary raise of $2500. How much would Leah make as a salary after 6 years working for the company? What would be her salary after t years? Salary after 6 years: Salary after t years:

Answer 1

`\begin{gathered} \text{after 6 years: 80000} \\ \text{after t years:}S=65000+2500t \end{gathered}`

Step-by-step explanation

Step 1

let s represents the salaray

let t represents the number of years she works.

she will make an annual salary of $65000. Leah was told that for each year she stays with the company, she will be given a salary raise of $2500

hence.

`S=65000+2500t`

and, we have the function for the salary:

for example, after 1 year

it means, t=1

replace

`\begin{gathered} S=65000+2500t \\ S=65000+2500\cdot1 \\ S=65000+2500 \\ S=67500 \end{gathered}`

so After 6 years

it is, when t= 6

`\begin{gathered} S=65000+2500t \\ S=65000+2500\cdot6 \\ S=65000+15000 \\ S=80000 \end{gathered}`

I hope this helps you