Inequality Word Problem

Question

James wants to promote his band on the internet. Site A offers website hosting for $4.95 per month with a $49.95 startup fee. Site B offers website hosting for $9.95 per month with no startup fee. For how many months would James need to keep the website for Site A to be a better choice than Site B?

Answer 1

For site A to be better than site B, the cost for A must be less than the cost for B

Cost for A = 49.95 + 4.95x (x is the number of months)

Cost for B = 9.95x (x is the number of months)

Cost A < Cost B

49.95 + 4.95x < 9.95x

Subtract 4.95x from both sides of the inequality.

49.95 < 5x

x > 9.99

Therefore any time period greater than 9.9 months will make site A a better choice than site B.