Question

Handy Mandy fixes major appliances such as refrigirator and air conditioners . She charges a fixed fee for a home visit plus an hourly rate for the repair work. Use the info. Below
Hours : 3. 7. 10
Total cost: $97. $205. $286
A) what is Mandy's fixed fee?
B) what is Mandy's hourly rate ?

Answer 1

x = fixed fee
y = hourly rate

x + 3y = 97 --- multiply by -1
x + 7y = 205
---------------
-x - 3y = -97 (result of multiplying by -1)
x + 7y = 205
---------------add
4y = 108
y = 27

x + 3y = 97
x + 3(27) = 97
x + 81 = 97
x = 97 - 81
x = 16

check...
x + 7y = 205
16 + 7(27) = 205
16 + 189 = 205
205 = 205 (correct)

check..
x + 10y = 286
16 + 10(27) = 286
16 + 270 = 286
286 = 286 (correct)

so the standard fee (x) = 16 and the hourly rate (y) = 27

Answer 2

oops...I meant fixed fee, not standard fee

Answer 3

Thanksssssss