Question

As a salesperson at an electronics store, Tyler earns a base salary of $45,000 per year plus $75 for each computer he sells (x). Which function models Tyler's earnings for one year?

Answer 1

`f(x) = 45,000 + 75 x`

Explanation:

Let's call x the number of computers that Tyler sells each year. Therefore, the earning due to the number of computers sold in one year will be

`75 \cdot x`

Because for each computer Tyler earns 75 dollars.

In addition, we know that Tyler earns a base salary of 45,000 dollar each year. Therefore, the total earning per year will be the sum of these two factors:

`f(x) = 45,000 + 75 x`

Answer 2

`y=75x+45,000`,

Explanation:

Let x be the number of computers Tyler sold in one year.

We have been given that Tyler earns $75 for each computer he sells, so earnings from selling x computers will be 75x.

We are also told that he earns a base salary of $45,000 per year. This means his total earnings in 1 year will be equal to his base salary plus the earnings from selling x computers.

We can represent this information in an equation as:

`y=75x+45,000`, where, y represents total annual salary of Tyler after selling x computers.

Therefore, the function
`y=75x+45,000` models Tyler's earnings for one year.