asked 94.3k views
5 votes
Pablo wants to rent a boat and spend less than 35 . the boat costs 6 per hour, and pablo has a discount coupon for 7 off. what are the possible numbers of hours pablo could rent the boat?

2 Answers

4 votes

Answer:

6 hours

Step-by-step explanation:

Let the number of hours = n

6n × (100%-7%) ≤ 35


6n*(93)/(100) \le 35


n\le35/(6*93)/(100)


n\leq (35*100)/(6*93)


n\le6.27


n\approx6\ hours

2 votes

Final answer:

Pablo can rent the boat for less than 7 hours, using a discount coupon of $7 off and an hourly rental rate of $6, to spend less than $35 in total.

Step-by-step explanation:

Pablo wants to rent a boat and spend less than $35. The boat costs $6 per hour, and Pablo has a discount coupon for $7 off. To determine the possible numbers of hours Pablo could rent the boat, we need to set up an inequality. The total cost is the hourly rate times the number of hours (h) minus the discount.

Let's denote the number of hours Pablo wants to rent the boat as 'h'. The cost for renting the boat for 'h' hours would be $6h. With the $7 discount applied, the inequality to represent this scenario is:

6h - 7 < 35

Now we solve for 'h' to find the possible numbers of hours:

Add 7 to both sides of the inequality:

6h < 42

Divide both sides by 6 to isolate 'h':

h < 7

Pablo can rent the boat for less than 7 hours to keep the cost under $35.

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