tim is choosing between two cell phone plans that same amount of free minutes. Cingular plane charges 39.99 per month with additional minutes costing 0.45. Verizon plan cost 44.99 with minutes at 0.40 . How many additional minutes a, will it take for thw two plans to cost the same

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calculista calculista · Answer 1 · 2019-10-18T10:48:23+02:00

Answer:

100 minutes

Step-by-step explanation:

Let

x ----> the number of minutes

y ----> the total cost of the plan

we know that

Cingular Plan

[tex]y=0.45x+39.99[/tex] -----> equation A

Verizon Plan

[tex]y=0.40x+44.99[/tex] -----> equation B

To find out how many additional minutes will it take for the two plans to cost the same

Solve the system of equations A and B

Solve by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (100,84.99)

see the attached figure

therefore

For x=100 minutes

The cost for both plans is $84.99