Aphone company offers two monthly plans. plan a costs $10 plus an additional $0.19 for each minute of calls. plan b costs $22 plus an additional $0.15 for each minute of calls. when will the two plans cost the same

Answer:

The cost will be equal after 5 hours.

Explanation:

Given:

A phone company offers two monthly plans.  

Plan A costs =$10 plus an additional $0.19 for each minute of calls.  

Plan B costs= $22 plus an additional $0.15 for each minute of calls.  

solution:

Now, let n represents the number minutes of call.

For plan A  

total cost = $10 additional + $0.19 for each minute  

total cost = 10 + 0.19 x n

For plan B

total cost = $22 + $0.15 for each minute  

total cost = 22 + 0.15 x n

Then, we have to equate both the costs, to get the required answer

10 + 0.19n = 22 + 0.15n  

0.19n – 0.15n = 22 – 10  

0.04n = 12  

n = 300

So, the cost will be equal after 300 minutes  

5 x 60 minutes  

5 x 1 hour  

5 hours

Hence, the cost will be equal after 5 hours.

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.