Question

One cell phone company offers a plan that costs $22.99 and includes unlimited night and weekend minutes. Another company offers a plan that costs $11.99 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?

Answer 1

From 0 to 31.43 minutes Plan 2 is cheaper. From 31.44 Plan 1 is better.

Explanation:

First, we need to structure the total cost formula for each fitness center:

Plan 1= 22.99

Plan 2= 11.99 + 0.35x

x= number of minutes

Now, we equal the formulas and isolate x:

22.99= 11.99 + 0.35x

11=0.35x

31.43=x

The indifference point is 31.43 minutes.

From 0 to 31.43 minutes Plan 2 is cheaper. From 31.44 Plan 1 is better.