Questions: A text message plan costs 5 per month plus 0.35 per text. Find the monthly cost for x text messages The monthly cost of x messages is dollars.

A text message plan costs 5 per month plus 0.35 per text. Find the monthly cost for x text messages

The monthly cost of x messages is dollars.

Transcript text: A text message plan costs $5 per month plus $0.35 per text. Find the monthly cost for $x$ text messages The monthly cost of $x$ messages is $\square$ dollars.

Solution

Solution Steps

To find the monthly cost for $ x $ text messages, we need to calculate the total cost by adding the fixed monthly fee to the cost of sending $ x $ text messages. The fixed monthly fee is $5, and each text message costs $0.35. Therefore, the total monthly cost can be expressed as the sum of the fixed fee and the product of the number of messages and the cost per message.

Step 1: Identify the Fixed and Variable Costs

The problem involves calculating the total monthly cost for sending text messages. The fixed cost is the monthly fee, which is $ \$5 $. The variable cost is the cost per text message, which is $ \$0.35 $ per message.

Step 2: Formulate the Total Cost Expression

To find the total monthly cost, we need to add the fixed cost to the product of the number of text messages and the cost per message. The expression for the total cost $ C $ for $ x $ text messages is: \[ C = 5 + 0.35x \]

Step 3: Calculate the Total Cost for 10 Text Messages

Substitute $ x = 10 $ into the expression to find the total cost: \[ C = 5 + 0.35 \times 10 = 5 + 3.5 = 8.5 \]