Question

Hank and Lynn are both paying off car loans.• Hank paid $2,000 up front when he bought his car, and he pays $200 each month.• Lynn did not pay any money up front when she bought her car, and she pays $275 eachmonth.Is the relationship between the number of months and the total amount paid proportionalfor both Hank's and Lynn's loans? Use the drop-down menus to explain your answer.Click the arrows to choose an answer from each menu.A graph that shows the number of months and the total amount paid by Hank wouldChooseA graph that shows the number of months and the total amount paid by Lynn wouldChooseThe relationship between the humber of months and the total amount paid is proportional forChooseMy Progress

Answer 1

If hank paid 2000 upfront when he bought his car, and he pays $200 each month, the equation that gives you the total amount paid by hank is:

Total Paid = $2000 + $200X

Where X is the number of the month.

So, a graph that shows the number of months and the total amount paid by hank is:

At the same way, if Lynn pays only $275 each month, the equation that gives you the total amount paid is:

Total Paid = 275X

Where X is the number of the month.

So, the relationship between the number of months and the total amount paid is proportional to both Hank's and Lynn's loans. However, the slopes of the graphs are different.