Jamia is deciding between two long-distance telephone plans:

• Plan A charges $5 per month plus 6¢/min.
• Plan B charges $20 per month plus 1¢/min.

Jamia usually makes about 200 min of long distance calls each month.
Which plan costs less? Show your calculations.

costA=6m+500

costB=m+2000

plug in m=200 and see which gives you the smaller value

To determine which plan costs less for Jamia, we need to calculate the total cost for each plan based on her average monthly usage of 200 minutes.

Let's start with Plan A, which charges $5 per month plus 6¢/min:

1. Monthly fee: $5
2. Cost per minute: 6¢

To calculate the cost of 200 minutes under Plan A, we multiply the cost per minute by the number of minutes:

200 min x 6¢/min = 1200¢

Now we need to convert cents to dollars:

1200¢ ÷ 100 = $12

Therefore, under Plan A, the cost for 200 minutes is $12.

Now let's calculate the cost for Plan B, which charges $20 per month plus 1¢/min:

1. Monthly fee: $20
2. Cost per minute: 1¢

Using the same method as before, we multiply the cost per minute by the number of minutes:

200 min x 1¢/min = 200¢

Again, we need to convert cents to dollars:

200¢ ÷ 100 = $2

Therefore, under Plan B, the cost for 200 minutes is $2.

Now we compare the total costs for both plans:

Plan A: $12
Plan B: $2

Since $2 is less than $12, it means that Plan B costs less for Jamia.