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

Part 1) see the procedure

Part 2)
`4.95x+49.95 < 9.95 x`

Part 3)
`x > 9.99\ months`

Part 4) The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

Explanation:

Part 1) Define a variable for the situation.

Let

x ------> the number of months

y ----> the total cost monthly for website hosting

Part 2) Write an inequality that represents the situation.

we know that

Site A

`y=4.95x+49.95`

Site B

`y=9.95x`

The inequality that represent this situation is

`4.95x+49.95 < 9.95 x`

Part 3) Solve the inequality to find out how many months he needs to keep the website for Site A to be less expensive than Site B

`4.95x+49.95 < 9.95 x`

Subtract 4.95x both sides

`4.95x+49.95-4.95x < 9.95 x-4.95x\\ 49.95 < 5x`

Divide by 5 both sides

`49.95/5 < 5x/5\\ 9.99 < x`

Rewrite

`x > 9.99\ months`

Part 4) describe how many months he needs to keep the website for Site A to be less expensive than Site B.

The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months