Your father wants you to him build a shed in the backyard. he says he will pay you $10 for the first week and add an additional $10.50 each week thereafter. the project will take 5 weeks. how much money will you earn, in total, if you work for the 5 weeks? i got -0.5 + 10.5n(5) = 52 but apparently its wrong. i don t know how. im supposed to be using the arithmetic sequence formula.

$52 will be my earnings.

Step-by-step explanation:

My father said that he will pay me $10 for the first week and additional $10.50 will be added each week thereafter.

If the project takes n weeks, total money i earn will be modeled by

Total money = 10 + (n-1)10.50

                      = 10 + 10.5n - 10.50

                      = -0.50 + 10.5n

If this project takes 5 weeks then total money earned will be

Total money earned = 10 + (5 - 1)10.50

                                  = 10 + 4×10.50

                                  = 10 + 42

                                  = $52

d is correct

step-by-step explanation: