Question

Two companies are competing for a contract to sell the school wifi. Comporium

charges a $100 fee for installation and $39.99 for each month of service.

Brighthouse charges a $20 fee for installation and $49.99 for each month of

service. For what number of months of service will Comporium cost more than

Brighthouse?

Answer 1

It would take 8 months for Comporium to cost more than Brighthouse.

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let c represent the total cost to install Wi-Fi for m number of months.

For Comporium:

• c = 39.99m + 100

For Brighthouse:

• c = 49.99m + 20

For Comporium to cost more than Brighthouse:

39.99m + 100 > 49.99m + 20

10m > 80

m > 8

It would take 8 months for Comporium to cost more than Brighthouse.

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