Question
upstudy study bank question image url

Diane wants to rent a boat and spend less than \( \$ 36 \). The boat costs \( \$ 8 \) per hour, and Diane has a discount coupon for \( \$ 4 \) off. What are the possible numbers of hours Diane could rent the boat? Use \( t \) for the number of hours. Write your answer as an inequality solved for \( t \).

Ask by Hills Marshall. in the United States
Mar 11,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

\( t < 5 \)

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Extra Insights

To find out how many hours Diane can rent the boat, we first need to factor in the cost of renting the boat and the discount she has. The cost to rent the boat is \( 8t \) dollars for \( t \) hours. With the \( 4 \) dollar discount, the equation becomes: \[ 8t - 4 < 36 \] Now, let's solve the inequality step by step: 1. Add \( 4 \) to both sides: \[ 8t < 40 \] 2. Divide both sides by \( 8 \): \[ t < 5 \] This tells us that Diane can rent the boat for less than \( 5 \) hours. Therefore, the possible number of hours \( t \) that Diane could rent the boat would be represented as: \[ t < 5 \]

Related Questions

Latest Algebra Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy