Question

One cell phone company offers a plan that costs $26.99 and includes unlimited night and weekend minutes. Another company offers a plan that costs $18.99 and charges $0.35 per minute during nights and weekends. For what numbers of night and weekend minutes does the second company's plan cost more than the first company's plan? Starting at minutes, the second company's plan will cost more than the first company's plan.

Answer 1

Given :

One cell phone company offers a plan that costs $26.99 and includes unlimited night and weekend minutes.

Another company offers a plan that costs $18.99 and charges $0.35 per minute during nights and weekends.

To Find :

For what numbers of night and weekend minutes does the second company's plan cost more than the first company's plan.

Solution :

Let, after n number of nights and weekends second plan is most costly.

So,

$18.99+0.35x > 26.99\\\\0.35x > 8\\\\x>22.85$

Therefore, after 22 night and weekends second plan is  most costly.

Hence, this is the required solution.