Chris wants to rent a boat and spend at most $59. The boat costs $7 per hour, and Chris has a discount coupon for $4 off. What are the possible numbers of hours Chris could rent the boat?
Use t for the number of hours.
Write your answer as an inequality solved for t.
We know that the boat costs $7 per hour and Chris has a discount coupon for $4 off. Therefore, the amount Chris will actually pay per hour is $7 - $4 = $3 per hour.
Let's say Chris wants to rent the boat for t hours. The total amount he will have to pay is $3t.
We also know that Chris wants to spend at most $59. Therefore, the inequality can be written as:
$3t ≤ $59
To solve for t, we divide both sides of the inequality by $3:
t ≤ $59 ÷ $3
t ≤ 19.67
Since we can't rent the boat for a fraction of an hour, the possible numbers of hours Chris could rent the boat are 1 to 19. In inequality form, this is:
1 ≤ t ≤ 19
Let's set up the inequality.
The cost to rent the boat per hour is $7.
So, the cost for renting t hours would be 7t.
Chris has a discount coupon of $4 off, so the total cost with the coupon would be 7t - 4.
Chris wants to spend at most $59, so we have the inequality:
7t - 4 ≤ 59
To find the possible numbers of hours Chris could rent the boat, we need to consider the cost of renting the boat and the discount coupon.
Let's start by setting up an equation to represent the cost of renting the boat. We know that the boat costs $7 per hour, and Chris has a $4 discount coupon. Therefore, the equation for the cost, C, can be represented as:
C = 7t - 4
Here, t represents the number of hours Chris rents the boat.
We also know that Chris wants to spend at most $59. So we can set up an inequality to represent this condition:
C ≤ 59
Substituting the previous equation of C into the inequality, we have:
7t - 4 ≤ 59
Now, let's solve the inequality for t:
7t ≤ 63 (adding 4 to both sides)
t ≤ 9 (dividing both sides by 7)
Therefore, the possible numbers of hours Chris could rent the boat can be expressed as an inequality:
t ≤ 9