Question

Becky works a job that pays $14 per hour. Write a function that represents the amount of money she makes. Be sure to indicate any domain restrictions

Answer 1

The form of the linear function is

`f(x)=mx+b`

m is the rate of change

b is the initial amount

Since Becky earns $14 per hour, then

The rate is $14 per hour

m = 14

Since there is no initial amount, then

b = 0

Substitute the values of m and b in the form of the function above

`\begin{gathered} f(x)=14x+0 \\ f(x)=14x \end{gathered}`

The function that represents the amount of money she makes is

f(x) = 14x, where x > 0