One phone plan charges a $20 monthly fee and $0.08 per minute on every phone call made. Another phone plan charges a $12 monthly fee and $0.12 per minute on each call. After how many minutes is the charge the same for both plans?

Question

One phone plan charges a $20 monthly fee and $0.08 per minute on every phone call made. Another phone plan charges a $12 monthly fee and $0.12 per minute on each call. After how many minutes is the charge the same for both plans?

A.60 minutes
B.90 minutes
C.120 minutes
D.200 minutes
please explain and show work.

Answer 1

20 + 0.08m = 12 + 0.12m

8 = 0.04m

8/0.04 = m

200 = m

Answer 2

To find out after how many minutes the charge is the same for both plans, we need to set up an equation.

For the first plan, the monthly fee is $20, and the cost per minute is $0.08.
So the cost for the first plan after x minutes can be expressed as: 20 + 0.08x.

For the second plan, the monthly fee is $12, and the cost per minute is $0.12.
So the cost for the second plan after x minutes can be expressed as: 12 + 0.12x.

Now, we can set up an equation to find the point at which the charges are the same:
20 + 0.08x = 12 + 0.12x.

Subtracting 0.08x from both sides, we get:
20 = 12 + 0.04x.

Subtracting 12 from both sides, we get:
8 = 0.04x.

Dividing both sides by 0.04, we get:
x = 200.

Therefore, after 200 minutes, the charges for both plans will be the same.

So the correct answer is D. 200 minutes.

Answer 3

To determine when the charges will be the same for both phone plans, we can set up an equation based on the given information.

Let's assume the number of minutes to be x.

For the first phone plan with a $20 monthly fee and $0.08 per minute:
Total charges = Monthly fee + (Minutes * Cost per minute)
Total charges for the first plan = 20 + (0.08 * x)

For the second phone plan with a $12 monthly fee and $0.12 per minute:
Total charges = Monthly fee + (Minutes * Cost per minute)
Total charges for the second plan = 12 + (0.12 * x)

Now, to find the point at which the charges are the same, we can set the two equations equal to each other and solve for x:

20 + (0.08 * x) = 12 + (0.12 * x)

First, let's simplify the equation:

0.08x - 0.12x = 12 - 20

-0.04x = -8

Now, let's solve for x by dividing both sides of the equation by -0.04:

x = (-8) / (-0.04)
x = 200

So, after 200 minutes, the charges will be the same for both plans.

Therefore, the correct answer is D. 200 minutes.