Cells Are Us charges $5 per month and $1.50 per minute on their prepaid plan. The total cost for a cell bill can be represented by the equation C = 1.5m + 5, where m represents the number of minutes and C represents the cost, in dollars.

Call Time charges $15 per month and $0.50 per minute on their prepaid plan. The total cost for a cell bill can be represented by the equation C = 0.5m + 15, where m represents the number of minutes and C represents the cost, in dollars.

1. At how many minutes do the two companies charge the same amount?

2.What is the cost, in dollars, when the charge is the same?

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N0YAA N0YAA · Answer 1 · 2021-12-03T15:59:56+01:00

Answer:

1. 10

2. $20

Step-by-step explanation:

You can use elimination to solve this.

1. Take the equation C=0.5m +15 and multiply the whole thing by -3

3(C=0.5m+15)

-3C=-1.5-45

2. Now add the new equation to C=1.5m+5

-3c+c=-2c

1.5m-1.5m=0

-45+5=-40

You get the equation -2c=-40

3. From this equation you can find the value of c, which is 20.

4. The value of C is the cost for when the charge is the same.

5. Plug in C into any of the equations (I chose c=1.5m+5)

20=1.5m+5

15=1.5m

10=m

6. The value of m is the number of minutes for when they are combined.