Question

Solving a word problem using a two-step med

equally
Espaho
Jim wants to rent a boat and spend at most $34. The boat costs $6 per hour, and Jim has a discount coupon for $8 off. What are the possible numbers of hours
Jim could rent the boat?
User for the number of hours.
Write your answer as an inequality solved for t

Answer 1

Inequality is 6t ≤ 44 and Jim can rent a boat for 7.33 hrs or less

Solution:

Given that

Maximum amount Jim can spend to rent a boat = $34

Rental cost of boat for 1 hour = $6

Also Jim has a discount coupon for $8 off.

Need to determine possible number of hours Jim could rent a boat.

Let’s assume possible number of hours Jim could rent a boat be represented by variable "t"

Cost of renting boat for 1 hour = 6

So Cost of renting a boat for t hours = t x renting boat for 1 hour = t x 6 = 6t

Also Maximum amount Jim can spend to rent a boat = $34

As Jim has a discount coupon for $8 off, so Total amount Jim can spend to rent a boat = $ 34 + $ 8 = $ 44

So cost of renting a boat for t hours must be less that of equal to Total amount Jim can spend to rent a boat

=> 6t ≤ 44

On solving above equality for "t" we get ,

`\begin{array}{l}{t \leq (44)/(6)} \\\\ {=>\mathrm{t} \leq 7.3333 \mathrm{hrs}}\end{array}`

Hence inequality is 6t ≤ 44 and Jim can rent a boat for 7.33 hrs or less.