Questions: A text message plan costs 2 per month plus 0.28 per text. Find the monthly cost for x text messages.

Transcript text: A text message plan costs $\$ 2$ per month plus $\$ 0.28$ per text. Find the monthly cost for $x$ text messages.

Solution

Solution Steps

To find the monthly cost for $ x $ text messages, we need to calculate the fixed monthly cost and add the variable cost based on the number of text messages. The fixed cost is $2 per month, and the variable cost is $0.28 per text message. Therefore, the total monthly cost can be expressed as:

\[ \text{Total Cost} = 2 + 0.28 \times x \]

Step 1: Identify the Fixed and Variable Costs

The fixed cost for the text message plan is $2 per month. The variable cost is $0.28 per text message.

Step 2: Formulate the Total Cost Equation

The total monthly cost $ C $ for $ x $ text messages can be expressed as: \[ C = 2 + 0.28x \]

Step 3: Substitute the Given Value of $ x $

Given $ x = 50 $ text messages, substitute $ x $ into the equation: \[ C = 2 + 0.28 \times 50 \]

Step 4: Calculate the Total Cost

Perform the multiplication and addition: \[ C = 2 + 14 = 16 \]