Question

In addition to his weekly salary, Ethan is paid 16 dollars per delivery. last week he made 5 deliveries and his total pay was 215 dollars. Write a linear equation to find Ethan's total weekly pay T if he makes d deliveries.

Answer 1

Ethan has a weekly salary, let "s" represent his weekly salary

He is also paid $16/delivery, if "d" represents the number of deliveries he makes, then "16d" will represent his earnings for making d deliveries.

His total pay "T" is determined by adding his weekly salary and his earnings for d deliveries, we can express this as:

$T=16d+s$

One week he earned T=$215 and made d=5 deliveries, using this information we can calculate his weekly salary:

$\begin{gathered} 215=16\cdot5+s \\ 215=80+s \\ s=215-80 \\ s=135 \end{gathered}$

Ethan's weekly salary is $135

Now that we know his weekly salary we can express his total earnings T when he makes d deliveries as follows:

$T=16d+135$