ABC phone company charges $17 per month plus $0.03 per minute of phone calls. XYZ phone company charges $8 per month plus $0.06 per minute of phone calls. How many minutes of phone calls in a month make XYZ phone company a better deal?

i was able to figure it out

0.06m +8<0.03m+17
0.03m<9
m<300
Statement: Less than 300 minuites

correct

To determine how many minutes of phone calls in a month make XYZ phone company a better deal, we need to find the number of minutes that will result in both companies having the same total cost.

Let's assume the number of minutes of phone calls in a month is represented by 'x'.

For ABC phone company:
Cost = $17 (fixed monthly charge) + $0.03 (per minute charge) * x

For XYZ phone company:
Cost = $8 (fixed monthly charge) + $0.06 (per minute charge) * x

We want to find the value of 'x' when the cost for both companies is equal:

$17 + $0.03 * x = $8 + $0.06 * x

Simplifying the equation:

$0.03 * x - $0.06 * x = $8 - $17

-$0.03 * x = -$9

Dividing both sides of the equation by -$0.03:

x = 9 / 0.03

x = 300

Therefore, XYZ phone company becomes a better deal when the number of minutes of phone calls in a month exceeds 300 minutes.

To determine how many minutes of phone calls in a month make XYZ phone company a better deal, we need to compare the costs of both companies.

Let's represent the number of minutes of phone calls in a month as 'm'.

For ABC phone company:
The monthly cost is $17 plus $0.03 per minute.
So, the total cost for m minutes of phone calls with ABC is: 17 + 0.03m.

For XYZ phone company:
The monthly cost is $8 plus $0.06 per minute.
So, the total cost for m minutes of phone calls with XYZ is: 8 + 0.06m.

Now, we need to find the value of 'm' where XYZ becomes a better deal. In this case, when the cost with XYZ is less than the cost with ABC.

Mathematically, we can set up the following inequality:

8 + 0.06m < 17 + 0.03m

Simplifying the inequality:

0.06m - 0.03m < 17 - 8
0.03m < 9
m < 9 / 0.03
m < 300

Therefore, XYZ phone company becomes a better deal when the number of minutes of phone calls in a month is less than 300.