need help with this

Question

Deon wants to rent a boat and spend less than $39

. The boat costs $7

 per hour, and Deon has a discount coupon for $3

 off. What are the possible numbers of hours Deon could rent the boat?

Answer 1

Deon wants to spend less than $39 on renting a boat, so this will be written as an inequality with the "less than" symbol (<).

It costs $7 for every hour that he rents the boat, if we let h represent the number of hours he rents the boat, then the cost per hour will be

$7 x h or $7h

We also need to include his coupon that will save him $3 off of the overall cost. So subtract $3 from the cost of renting the boat ($7h). Remember, the total cost must be less than $39.

Now we solve the inequality

$7h - $3 < $39

+ $3 + $3

$7h < $42

Divide both sides by $7

7h/7 < 42/7

h < 6 hours

The number of hours that Deon can rent the boat & spend less than $39 will be less than 6 hours.

{5 hours, 4 hours, 3 hours, 2 hours,1 hour}

Answer 2

Hi Nathaniel,

Given the information provided above, the total possible number of hours that Deon could rent his boat for would total 5.

$7 x 5 hours = $35

$35-$3 discount coupon = $32

(Note: Deon could also rent the boat for 6 hours if he wanted to spend exactly $39. But since he wants to spend less than $39, 5 is the answer you are going for here.)

I hope this helps!