How do i write the equations and plot both of them on a graph.

Question

Babysitting:

Suzie and Brenan babysit for two different families to make a little extra money. Suzie's pay is $8 per hour as well as $10 extra per week as a retainer. Brenan's pay is determined by how many hours Brenan works a week. Plus, Brenan receives a set weekly stipend for gas because the family lives in the country. Brenan has been babysitting for the past four weeks, and the following chart shows how much he was paid each week. 

Week	Hours Worked	Pay (dollars)
1	6	60
2	15	132
3	21	180
4	12	108

Q - 1

Write a separate linear equation for both Suzie and Brenan that relate their babysitting hours (h) to their weekly pay.

Q - 2

Plot both functions on the same axes, and upload a screenshot of your graph. You can use the Desmos Graphing Calculator (Links to an external site.) and upload a screenshot or complete your work on paper and upload a picture of your work.



Answer 1

Suzie's pay for a week y = 10 + 8x where x is the hours worked

Brennan's has to be worked out from the data. If the equation is linear, we should be able to find the slope by taking the Δy/Δx for 2 sets of data points: e.g. (180-132)/(21-15) = 8 and (108-60)/(12-6) = 8

So now you know that Brennan's Pay is y = b + 8x You can use any data point to solve for b

You can go to Desmos and type y = 10 +8*x , then hit the + button to write Brennan's Equation. It plots automatically.