Let's say your choosing between two cell phone plans. Plan A has a flat fee of $30 and charges $0.05 cent per minute. Plan B has a flat fee of $20 and charges $0.10 per minute. How many minutes, x, will it take for the two plans to cost the same?

Question

Mathematics

Thomas Wright

8 October, 15:17

Let's say your choosing between two cell phone plans. Plan A has a flat fee of $30 and charges $0.05 cent per minute. Plan B has a flat fee of $20 and charges $0.10 per minute. How many minutes, x, will it take for the two plans to cost the same?

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Answers (1)

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Carson · Answer 1

x=200 Minutes

Step-by-step explanation:

Using the given information, we can set up slope equations for each set of numbers. Plan A has an equation of y=.05x+30. Plan B has an equation of y=.1x+20. These plans both equal y, so they can be made equal to each other. This looks like. 05x+30=.1x+20. Subtract 20 from each side to aid in getting x by itself. This will look like. 05x+10=.1x. Subtract. 05x from each side to get all the x's to one side. This looks like. 05x=10. Divide by. 05 to get x. 10/.05=200. This shows how many minutes it takes for the plans to cost the same.