The form of the linear function is
[tex]f(x)=mx+b[/tex]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
[tex]\begin{gathered} f(x)=14x+0 \\ f(x)=14x \end{gathered}[/tex]The function that represents the amount of money she makes is
f(x) = 14x, where x > 0
