Question

Internet provider A charges $9.95 per month for the first 10 hours of use and $1.69 per hour for all those over 10. Provider B charges a flat fee of $19.95.What would be the maximum number of hours you could use each month for Provider A to be the best value for you?

Answer 1

15 hours is the answer to this

1.69×5+9.95

Answer 2

15 hours.

Explanation:

In order to solve this, we just have to create an inequality, for ti to be more convenient for us to work with the first company we shouldn´t be spending more than 19.95 a month, otherwise we would be better off with the second one, so the total would be 19.95, and the base fee is $9.95 for the first ten hours, so X would be the number of extra hours we will use:

`Base+Extra,hours=Budget`

Now we just insert the values in to the formula:

`10+1.68x=19.95\\`

We clear X:

`10+1.68x=19.95\\`

`1.68x=19.95-10\\`

`1.68x=9.95\\`

`x=(9.95)/(1.69)`

`x=5.91\\`

So the as the number of extra hours that we could use without going over the budget is 5.91, and the company wouldn´t charge us the .91, the number of extra hours is 5, plus the base hours, the total number of hours would be 15.