Answer :
To solve this problem, let's break it down step-by-step:
1. Entrance Fee: The amusement park charges a flat entrance fee of [tex]$5.00. This fee is constant and does not depend on the number of rides.
2. Cost Per Ride: The park charges an additional $[/tex]0.25 for each ride. The cost for the rides depends on the number of rides, denoted as [tex]\( r \)[/tex].
3. Total Cost Calculation:
- The total cost [tex]\( C \)[/tex] can be calculated by adding the entrance fee to the total cost of the rides.
- Therefore, the equation for the total cost [tex]\( C \)[/tex], given [tex]\( r \)[/tex] rides, is:
[tex]\[
C = 5.00 + 0.25 \times r
\][/tex]
Now, let's compare this equation with the options provided:
- (A) [tex]\( C = 5.00 + 25r \)[/tex] – This is incorrect because it uses 25 instead of 0.25 for the cost per ride.
- (B) [tex]\( C = 500 + 25r \)[/tex] – This is incorrect because it uses 500 instead of 5.00 for the entrance fee, and 25 instead of 0.25 for the cost per ride.
- (C) [tex]\( C = 5.00 + 0.25r \)[/tex] – This option matches our equation perfectly.
- (D) [tex]\( C = 5.25r \)[/tex] – This is incorrect because it doesn't separately account for the entrance fee and incorrectly combines them into a cost per ride.
The correct answer is (C) [tex]\( C = 5.00 + 0.25 \times r \)[/tex], which properly calculates the total cost based on the entrance fee and the number of rides.
1. Entrance Fee: The amusement park charges a flat entrance fee of [tex]$5.00. This fee is constant and does not depend on the number of rides.
2. Cost Per Ride: The park charges an additional $[/tex]0.25 for each ride. The cost for the rides depends on the number of rides, denoted as [tex]\( r \)[/tex].
3. Total Cost Calculation:
- The total cost [tex]\( C \)[/tex] can be calculated by adding the entrance fee to the total cost of the rides.
- Therefore, the equation for the total cost [tex]\( C \)[/tex], given [tex]\( r \)[/tex] rides, is:
[tex]\[
C = 5.00 + 0.25 \times r
\][/tex]
Now, let's compare this equation with the options provided:
- (A) [tex]\( C = 5.00 + 25r \)[/tex] – This is incorrect because it uses 25 instead of 0.25 for the cost per ride.
- (B) [tex]\( C = 500 + 25r \)[/tex] – This is incorrect because it uses 500 instead of 5.00 for the entrance fee, and 25 instead of 0.25 for the cost per ride.
- (C) [tex]\( C = 5.00 + 0.25r \)[/tex] – This option matches our equation perfectly.
- (D) [tex]\( C = 5.25r \)[/tex] – This is incorrect because it doesn't separately account for the entrance fee and incorrectly combines them into a cost per ride.
The correct answer is (C) [tex]\( C = 5.00 + 0.25 \times r \)[/tex], which properly calculates the total cost based on the entrance fee and the number of rides.
