5.00 + .05x < .07x
5.00 < .02x
250 < x
So, you need to use more than 250 minutes to make it cost less
5.00 < .02x
250 < x
So, you need to use more than 250 minutes to make it cost less
For the first phone company with a flat rate of $0.07 per minute, the cost for x minutes would be 0.07 * x.
For the second long distance plan with a rate of $0.05 per minute, you have to pay a fixed charge of $5 per month in addition to the rate. So the cost for x minutes would be $0.05 * x + $5.
To find the point where the average cost is less than $0.07, we set up the inequality:
(0.05 * x + 5) / x < 0.07
To solve this inequality, we can simplify and isolate x:
0.05 * x + 5 < 0.07 * x
0.05 * x - 0.07 * x < -5
-0.02 * x < -5
x > (-5) / (-0.02)
x > 250
Therefore, you would need to talk more than 250 minutes per month for your average cost to be less than $0.07 per minute.