Question

One telephone company charges $16.95 per month and $0.05 per minute for local calls. Another company charges $22.95 per month and $0.02 per minute for local calls. For what number of minutes of local calls per month is the cost of the plans the same?

Answer 1

Answer:.03x=6

Step-by-step explanation x=200 minutes

Answer 2

200 minutes

Explanation:

To find this, you should first set up an equation. Since you are trying to find the point where both plans cost the same, set them equal to each other. Let x be the cost for both. Write the equation:

`16.95+0.05x=22.95+0.02x`

We place the x with the cost per minute because this is what you are trying to find. We add the cost per month.

Solve for x. Subtract 16.95 from both sides and simplify:

`16.95-16.95+0.05x=22.95-16.95+0.02x\\0.05x=6+0.02x`

Subtract 0.02x from both sides:

`0.05x-0.02x=6+0.02x-0.02x\\0.03x=6`

Divide both sides by 0.03:

`(0.03x)/(0.03)=(6)/(0.03)\\ x=200`

At 200 minutes, the cost for both plans would be the same.