A phone company has two long distance calling plans. The first plan is $25 per month

for unlimited long distance calling. The second

plan is $10 per month plus $0.05 per minute

of long distance calling. After how many

minutes of long distance calls will it be cheaper

for a customer to purchase the first plan?

After 300 minutes of long distance calls it will be cheaper  for a customer to purchase the first plan.

Step-by-step explanation:

With the information provided, you have to find the amount of minutes of long distance calls where it will be cheaper for the customer to purchase the first plan by stating that the price of the second plan which is calculated by adding up the fixed fee plus the result of multiplying the price per minute for the number of minutes is higher than the price of the first plan, which could be express as:

10+0.05x>25, where:

x is the number of minutes

Now, you can solve for x:

0.05x>25-10

0.05x>15

x>15/0.05

x>300

According to this, the answer is that after 300 minutes of long distance calls it will be cheaper  for a customer to purchase the first plan.