Dianne pays $28 to enter a state fair, plus $2 for each ride. Which of the following equations represents her total cost?A.B.C.D.

To find the equation representing Dianne's total cost at the state fair, we can break down the problem as follows:

1. ### Break Down the Problem

• Fixed entry cost: $28
• Variable cost per ride: $2
• Let $x$ be the number of rides Dianne goes on.

2. ### Relevant Concepts

To find the total cost, we need to add the fixed cost to the variable cost, which leads us to the following equation:

$\text{Total Cost} = \text{Fixed Cost} + (\text{Cost per Ride} \times \text{Number of Rides})$

3. ### Analysis and Detail

Substituting the known values into the equation:

• Fixed Cost = 28
• Cost per Ride = 2
• Number of Rides = $x$

The equation becomes:

$\text{Total Cost} = 28 + 2x$

4. ### Verify and Summarize

The equation $28 + 2x$ accurately represents the total cost incurred by Dianne. As she pays $28 to enter the fair and$2 for each ride, this linear equation captures both components.

Final Answer

The equation that represents her total cost is:

$\text{Total Cost} = 28 + 2x$