Question

How many months (m) of television were used if the charges totaled $650?

a) m = 8
b) m = 9
c) m = 10
d) m = 11

Write an equation for the total charges, C, if they charge $75 per month (m) and a one-time installation fee of $50.
a) C = 75m + 50
b) C = 75m - 50
c) C = 50m + 75
d) C = 75 + 50m

Answer 1

The total charges for television service can be represented by the equation C = 75m + 50. To find out the number of months with a total of $650 charges, subtract the one-time fee from the total and divide by the monthly rate, resulting in 8 months of service.

Step-by-step explanation:

The total charges for television service, C, can be written as an equation where there's a monthly charge and a one-time installation fee. The monthly charge is $75, and the installation fee is $50. Therefore, the equation for the total charges would be the sum of the product of the monthly charge and the number of months (m) plus the installation fee. The equation is:

C = 75m + 50

To find out how many months of television service were used if the charges totaled $650, you can use this equation. Subtract the one-time fee from the total and then divide by the monthly rate:

650 - 50 = 75m
600 = 75m
m = 600 / 75
m = 8

Therefore, the answer is m = 8, which corresponds to option (a).