Question
Heather wants to rent a boat and spend at most $47. The boat costs $8 per hour, and Heather has a discount coupon for off. What are the possible numbers of hours Heather could rent the boat? Use for the number of hours.
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Answer
Heather wants to rent a boat and spend at most $47. The boat costs $8 per hour, and Heather has a discount coupon for$9 off. What are the possible numbers of hours Heather could rent the boat? Use t for the number of hours.
Answered by
GPT 3.5
Let's represent the number of hours Heather can rent the boat as x.
The cost of renting the boat for x hours would be 8x dollars.
Since Heather has a discount coupon, she would have to pay (8x - 4) dollars.
According to the problem, Heather wants to spend at most $47.
Therefore, the inequality would be (8x - 4) ≤ 47.
By adding 4 to both sides of the inequality, we get 8x ≤ 51.
Finally, by dividing both sides of the inequality by 8, we get x ≤ 6.375.
Since the number of hours cannot be a fraction, the possible numbers of hours Heather could rent the boat are {0, 1, 2, 3, 4, 5, 6}. Answer: \boxed{0, 1, 2, 3, 4, 5, 6}.
The cost of renting the boat for x hours would be 8x dollars.
Since Heather has a discount coupon, she would have to pay (8x - 4) dollars.
According to the problem, Heather wants to spend at most $47.
Therefore, the inequality would be (8x - 4) ≤ 47.
By adding 4 to both sides of the inequality, we get 8x ≤ 51.
Finally, by dividing both sides of the inequality by 8, we get x ≤ 6.375.
Since the number of hours cannot be a fraction, the possible numbers of hours Heather could rent the boat are {0, 1, 2, 3, 4, 5, 6}. Answer: \boxed{0, 1, 2, 3, 4, 5, 6}.
Answered by
GPT 3.5
Let's represent the number of hours Heather can rent the boat as t.
The cost of renting the boat for t hours would be 8t dollars.
Since Heather has a discount coupon of $9 off, she would have to pay (8t - 9) dollars.
According to the problem, Heather wants to spend at most $47.
Therefore, the inequality would be (8t - 9) ≤ 47.
By adding 9 to both sides of the inequality, we get 8t ≤ 56.
Finally, by dividing both sides of the inequality by 8, we get t ≤ 7.
Since the number of hours cannot be a fraction, the possible numbers of hours Heather could rent the boat are {0, 1, 2, 3, 4, 5, 6, 7}. Answer: \boxed{0, 1, 2, 3, 4, 5, 6, 7}.
The cost of renting the boat for t hours would be 8t dollars.
Since Heather has a discount coupon of $9 off, she would have to pay (8t - 9) dollars.
According to the problem, Heather wants to spend at most $47.
Therefore, the inequality would be (8t - 9) ≤ 47.
By adding 9 to both sides of the inequality, we get 8t ≤ 56.
Finally, by dividing both sides of the inequality by 8, we get t ≤ 7.
Since the number of hours cannot be a fraction, the possible numbers of hours Heather could rent the boat are {0, 1, 2, 3, 4, 5, 6, 7}. Answer: \boxed{0, 1, 2, 3, 4, 5, 6, 7}.
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