Answer:
Part 1) The number of minutes in a month must be greater than 50 in order for the plan A to be preferable
Part 2) The number of minutes in a month must be equal to 50 minutes
Step-by-step explanation:
<u><em>The question is</em></u>
Part 1) How many minutes would Kendra have to use in a month in order for the plan A to be preferable? Round your answer to the nearest minute
Part 2) Enter the number of minutes where Kendra will pay the same amount for each long distance phone plan
Part 1)
Let
x ---> the number of minutes
we have
<em>Cost Plan A</em>
<em>Cost Plan B</em>
we know that
In order for plan A to be cheaper than plan B, the following inequality must hold true.
cost of plan A < cost of plan B
substitute
solve for x
subtract 3x both sides
divide by 2 both sides
Rewrite
therefore
The number of minutes in a month must be greater than 50 in order for the plan A to be preferable
Part 2)
Let
x ---> the number of minutes
we have
<em>Cost Plan A</em>
<em>Cost Plan B</em>
we know that
In order for plan A cost the same than plan B, the following equation must hold true.
cost of plan A = cost of plan B
substitute
solve for x
therefore
The number of minutes in a month must be equal to 50 minutes