Warner Lee
02/26/2023 · Primary School
13 Ryan wants to rent a Segway to tour Washington DC. He pays a flat rate of \( \$ 20 \) to rent it. He then has to pay \( \$ 5 \) per hour he uses it. Ryan only has \( \$ 50 \) budgeted to spend on the Segway. Write an Ineguality to show how long he and rent it
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To determine how long Ryan can rent the Segway within his budget, we can set up an inequality based on the costs involved.
1. The flat rate to rent the Segway is \( \$20 \).
2. The cost per hour to use the Segway is \( \$5 \).
3. Ryan's total budget is \( \$50 \).
Let \( h \) represent the number of hours Ryan rents the Segway. The total cost for renting the Segway can be expressed as:
\[
\text{Total Cost} = 20 + 5h
\]
To ensure that Ryan stays within his budget, we set up the following inequality:
\[
20 + 5h \leq 50
\]
This inequality shows that the total cost of renting the Segway (the flat rate plus the hourly rate multiplied by the number of hours) must be less than or equal to \( \$50 \).
Now, we can solve the inequality for \( h \):
1. Subtract \( 20 \) from both sides:
\[
5h \leq 30
\]
2. Divide both sides by \( 5 \):
\[
h \leq 6
\]
Thus, the inequality \( 20 + 5h \leq 50 \) shows that Ryan can rent the Segway for a maximum of \( 6 \) hours.
Quick Answer
The inequality is \( 20 + 5h \leq 50 \).
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit