Question

Amanda rented a bike from Shawna's Bikes. They charged her $2 per hour, plus a $10 fee. Amanda paid less than $27. Create an inequality to represent the situation. What is the maximum number of hours Amanda rented the bike?

Answer 1

Amanda could have rented the bike for a maximum of 8 hours, as represented by the inequality 2h + 10 < 27 where h is the number of hours.

Step-by-step explanation:

The situation described is a linear inequality problem. Amanda rented a bike from Shawna's Bikes with a charge of $2 per hour, plus a $10 fee. The inequality to represent Amanda paying less than $27 for the bike rental is:

2h + 10 < 27

Where h is the number of hours Amanda rented the bike.

To find the maximum number of hours Amanda rented the bike:

Since Amanda can't rent the bike for a fraction of an hour, she could have rented the bike for a maximum of 8 hours.

Answer 2

Main Answer:

The inequality representing Amanda's situation is
`\(2h + 10 < 27\),` where
`\(h\)` is the number of hours she rented the bike.

Step-by-step explanation:

Amanda's rental cost consists of both an hourly rate and a flat fee. The expression
`\(2h + 10\)` represents the total cost, where
`\(2h\)` accounts for the hourly rate of $2 per hour, and $10 is the flat fee. The inequality
`\(2h + 10 < 27\)` reflects the condition that Amanda paid less than $27. To find the maximum number of hours she rented the bike, we can solve the inequality. First, subtracting $10 from both sides gives
`\(2h < 17\)`. Next, dividing by 2 yields
`\(h < 8.5\)`. Since the number of hours must be a whole number, Amanda must have rented the bike for a maximum of 8 hours.

In summary, the inequality
`\(2h + 10 < 27\)`encapsulates Amanda's rental situation, and solving it reveals that the maximum number of hours she rented the bike is 8.