Question

The All in One wireless phone company offers a cell phone plan of 900 minutes per month for $59.99. Each minute over the first 900 is an additional $0.40 per minute. Which algebraic expression could be used to model Tom's total cell phone bill for using m minutes during the month of February, if Tom used more than 900 minutes that month?

Answer 1

$59.99 + 0.40(
`m` - 900)

Explanation:

Given that:

Per month charges for 900 minutes = $59.99

After 900 minutes, each minute is charged $0.40 per minute.

Also, there are
`m` number of minutes used in February.

Plus, we know that:

`m>900`

To find:

Algebraic expression to represent the total bill in the month of February.

Solution:

Charges for the first 900 calls = $59.99

Total number of calls =
`m`

Total number of calls above 900 =
`m` - 900

Charges per call above 900 = $0.40

Charges for the calls above 900 = Number of calls above 900
`*` Charges per call above 900 = 0.40(
`m` - 900)

Therefore, total charges for
`m` calls = $59.99 + 0.40(
`m` - 900)