Question

A linear function best describes the amount of a salesperson’s paycheck for the week. The sales person is paid $300 for the week plus an additional $5 for every customer that buys a subscription from her. If x represents the number of subscriptions she sells, which function below would best represent her paycheck amount for the week?

Answer 1

`f(x)=5x+300`

Explanation:

Let

x ----> represents the number of subscriptions she sells

f(x) ---->represent her paycheck amount for the week

we know that

The linear function in slope intercept form is equal to

`f(x)=mx+b`

where

m is the slope or unit rate of the linear function

b is the y-intercept or initial value of the linear function

In this problem we have that

The slope is equal to

`m=\$5\ per\ subscription`

The y-intercept is equal to

`b=\$300` ---> value of f(x) when the value of x is equal to zero

substitute

`f(x)=5x+300`