Question

A ticket for the local fair costs $20 and each ride costs $4.50. Write an equation that represents the cost based upon the number of rides (x). [Click Here for Help Video]
Then, you will calculate the total cost to go on 8 rides.
(3 points)
The equation for the cost of tickets is: y=___x+___
The total cost for one person to go on 8 rides is $___

Answer 1

To write an equation that represents the total cost based on the number of rides (x), we need to consider both the fixed cost of the ticket and the variable cost of the rides.

1. The cost of the fair ticket is $20 (this is a fixed cost).
2. Each ride costs $4.50.

So the fixed cost (ticket) is $20, and the variable cost depends on the number of rides (x), which is $4.50 multiplied by x.

The equation can be written as:

\[
y = 4.50x + 20
\]

where:
- \( y \) is the total cost,
- \( x \) is the number of rides.

Now, to calculate the total cost for one person to go on 8 rides:

1. Substitute \( x = 8 \) into the equation:

\[
y = 4.50(8) + 20
\]

2. Calculate the cost of the rides:

\[
4.50 \times 8 = 36
\]

3. Now add the ticket cost:

\[
y = 36 + 20 = 56
\]

Therefore, the total cost for one person to go on 8 rides is $56.

To summarize:
- The equation for the cost of tickets is: **y = 4.50x + 20**
- The total cost for one person to go on 8 rides is **$56**.