Final answer:
The equation that can be used to determine how many minutes Duane was in the theme park is (3) 21 - 8x + 1.25x.
Step-by-step explanation:
The equation that can be used to determine how many minutes Duane was in the theme park is (3) 21 - 8x + 1.25x.
Step-by-step explanation:
- Let x represent the number of rides Duane went on.
- We know that each ride costs $1.25, so the cost for the rides is 1.25x.
- In addition, Duane had to pay an $8 entrance fee, so the total cost of his time at the park is 1.25x + 8.
- According to the question, the total cost of Duane's time at the park was $21. Therefore, we have the equation 1.25x + 8 = 21.
- To solve for x, we can subtract 8 from both sides of the equation to get 1.25x = 13.
- Finally, dividing both sides of the equation by 1.25 gives us x = 10.
So, Duane was in the theme park for 10 minutes.