Question

You have a choice of two different Internet Service companies: AOL and Yahoo. One of AOL’s plans charges $19.99

for a month and a charge of $2.00 per hour. Yahoo’s similar plan offers service for only $14.99 a month and a charge
of $2.50 per hour. How many hours would you need to use the internet for the charges to be equal? What would the
monthly charge be?

Answer 1

To determine when AOL and Yahoo Internet Service plans cost the same, set up an equation based on their monthly and hourly charges. Solve for the number of hours when AOL's $19.99 monthly plus $2.00 per hour equals Yahoo's $14.99 monthly plus $2.50 per hour. The costs are equal at 10 hours of use per month, with a monthly charge of $39.99.

Step-by-step explanation:

To find out how many hours you would need to use the internet for the monthly charges from AOL and Yahoo to be equal, we need to set up an equation based on the given prices. AOL charges $19.99 per month plus $2.00 per hour, while Yahoo charges $14.99 per month plus $2.50 per hour. Let's use x to represent the number of hours of internet usage.

AOL's monthly charge will be:
19.99 + 2.00x

Yahoo's monthly charge will be:
14.99 + 2.50x

Setting these two expressions equal to each other to find when the costs are the same gives us:
19.99 + 2.00x = 14.99 + 2.50x

Subtract 2.00x from both sides to get:
19.99 = 14.99 + 0.50x

Subtract 14.99 from both sides to isolate the variable term:
5.00 = 0.50x

Finally, divide both sides by 0.50 to find the number of hours x:
x = 10

Therefore, you would need to use the internet for 10 hours for the charges from AOL and Yahoo to be equal. The monthly charge would be:
19.99 + 2.00 * 10 = 39.99

Answer 2

First, you’re starting equation should look something like this:
19.99+2h= 14.99+2.50h
H equaling hours
You would then subtract 2h from 2.50h, so now you’re equation will look like this:
19.99=14.99+0.50h
Then, subtract 14.99 from 19.99. The equation should look like:
5=0.50h
Finally, divided 0.50h to 5 to get 10
10=h
You’re finally answer should be, It would take 10 hours for the Internet cost to be equal. The monthly charge would then be 39.99. You can find your answer by replacing h on either sides or your starting equation and insert 10.
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If you have any further questions, feel free to ask!