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

Answer:

$59.99 + 0.40($m$ - 900)

Step-by-step 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 $\times$ Charges per call above 900 = 0.40($m$ - 900)

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