Amanda rented a bike from Shawna's Bikes. They charged her $2 per hour, plus a $10 fee. Amanda paid less than $27. Solve to find the maximum number of hours Amanda rented the bike.
Let's denote the number of hours Amanda rented the bike as "h".
According to the information given, Amanda paid $2 per hour, meaning she paid a total of 2h for the hourly rate.
She also paid a $10 fee. Adding these two amounts together, we can set up the following inequality:
2h + 10 < 27
Subtracting 10 from both sides of the inequality, we get:
2h < 17
Dividing both sides of the inequality by 2, we get:
h < 8.5
Since the number of hours must be a whole number, the maximum number of hours Amanda rented the bike is 8.
Let's assume Amanda rented the bike for x hours.
According to the given information, Shawna's Bikes charges $2 per hour and an additional $10 fee. Therefore, the total cost Amanda paid would be:
Total cost = (hourly rate * number of hours) + fee
Total cost = (2 * x) + 10
We also know that Amanda paid less than $27. Therefore, we can write a inequality:
Total cost < 27
(2 * x) + 10 < 27
Now, let's solve the inequality to find the maximum number of hours Amanda rented the bike:
2x + 10 < 27
2x < 27 - 10
2x < 17
x < 17 / 2
x < 8.5
The maximum number of hours Amanda rented the bike is 8 hours (since she cannot have fractional hours in renting a bike).
To solve this problem, we can start by setting up an equation based on the given information.
Let's denote the maximum number of hours Amanda rented the bike as 'h'.
According to the problem, Amanda was charged $2 per hour, so the cost for the hours would be 2h. Additionally, she was charged a $10 fee. Therefore, the total cost can be represented as 2h + 10.
We also know that Amanda paid less than $27. So the inequality representing this information would be:
2h + 10 < 27
To find the maximum number of hours Amanda rented the bike, we need to solve this inequality for 'h'.
Now, let's solve the inequality:
2h + 10 < 27
Subtracting 10 from both sides:
2h < 27 - 10
2h < 17
Dividing both sides by 2:
h < 17/2
The maximum number of hours Amanda rented the bike is h < 8.5.
However, since hours cannot be a fraction or a decimal in real-life situations, we round down to the nearest whole number. Therefore, Amanda rented the bike for a maximum of 8 hours.