Question

A cell phone company charges $65 per month plus $0.10 for each text message sent. For A-D choose the amount that could represent Addison's cell phone bill if she sends at least 14 text messages but less than 32 text messages.

Answer 1

To calculate Addison's bill for sending at least 14 but fewer than 32 text messages, multiply the number of texts by $0.10 and add the flat fee of $65. The bill would range from $66.40 to $68.10.

Step-by-step explanation:

The student's question pertains to a scenario involving a basic calculation of cost based on a fixed rate and a variable rate for additional services, which in this case is text messaging. To determine the range of Addison's cell phone bill, we must calculate the cost for both the least and the greatest number of text messages that she could send, remaining within the given limits of at least 14 but fewer than 32 messages.

The cell phone company charges a flat fee of $65 per month plus $0.10 for each text message sent. Therefore, the total monthly charge, C, can be expressed as:

C = $65 + ($0.10 × number of text messages sent)

For 14 text messages:

C = $65 + ($0.10 × 14) = $65 + $1.40 = $66.40

For 31 text messages (since she sends fewer than 32):

C = $65 + ($0.10 × 31) = $65 + $3.10 = $68.10

Therefore, Addison's monthly cell phone bill would range from $66.40 to $68.10 if she sends at least 14 text messages but fewer than 32 text messages.