Question

The table below shows Penelope's earnings on the job. Time (hours) Earnings (dollars) 20 $362 22 $398.20 32 $579.20 If e represents her total earnings in dollars and cents for any number of hours worked, h, write a proportional equation for e in terms of h that matches the context.

Answer 1

Given

To find the proportional equation for e in terms of h.

Now,

Let denotes the total earnings in dollars and h denotes the working hours.

Then, from the above table,

`\begin{gathered} (362)/(20)=18.1 \\ (398.20)/(20)=18.1 \\ (579.20)/(20)=18.1 \end{gathered}`

Thus, the equation for e in terms of h is,

`\begin{gathered} (e)/(h)=18.1 \\ e=18.1* h \\ e=18.1h \end{gathered}`

Hence, proportional equation for e in terms of h that matches the context is e=18.1*h.​