Question

Suppose MarketOne is a marketing company that has small businesses for clients. MarketOne charges an upfront cost of $350 for new clients and an additional $195 per month to run and maintain the client's website. A linear equation could be used to relate the total cost, in dollars, of MarketOne's services and the number of months that the client's website is running. Which solution is viable for this situation? For full points, write the equation and show your work.

Answer 1

The linear equation that relates the total cost (C) and the number of months (m) can be written as:

C = 195m + 350

where the constant term of 350 represents the upfront cost and the coefficient of 195 represents the monthly cost.

To check if this equation is viable for the situation, we can use some reasonable values for the number of months and see if the resulting costs make sense.

For example, if the client's website is running for 6 months, the total cost would be:

C = 195(6) + 350
C = 1,170 + 350
C = 1,520

This means that the client would pay $1,520 in total for 6 months of service from MarketOne.

Similarly, if the client's website is running for 12 months, the total cost would be:

C = 195(12) + 350
C = 2,340 + 350
C = 2,690

This means that the client would pay $2,690 in total for 12 months of service from MarketOne.

Based on these calculations, we can see that the linear equation is viable for the situation. The equation allows us to calculate the total cost of MarketOne's services based on the number of months the client's website is running, which is a useful tool for budgeting and planning.