A bike rental shop charges a fixed fee of $9 and an additional $2 for every hour a bike is rented. Miguel paid $29 when he rented a bike. How many hours did he use the bike? Choose the equation that represents the situation and the answer to the problem.
2x + 9 = 29 is the correct equation, but then the bot couldn't handle
such a trial equation.
2x = 20
x = 10 , so he rented the bike for 10 hours
Let's assume the number of hours Miguel rented the bike is represented by 'h'.
The fixed fee charged by the bike rental shop is $9.
The additional charge per hour is $2.
So the total cost of renting the bike can be represented by the equation: 9 + 2h.
Given that Miguel paid $29, we can set up the equation:
9 + 2h = 29.
Now, we can solve this equation to find the value of 'h'.
Subtracting 9 from both sides of the equation, we have:
2h = 29 - 9,
2h = 20.
Dividing both sides of the equation by 2, we get:
h = 20 / 2,
h = 10.
Therefore, Miguel used the bike for 10 hours.
To solve this problem, let's use the equation that represents the situation. We know that the rental shop charges a fixed fee of $9 and an additional $2 for every hour a bike is rented. Let's use "h" to represent the number of hours Miguel rented the bike.
The equation that represents the situation is:
Total cost = Fixed fee + Cost per hour x Number of hours
In this case, the total cost that Miguel paid is $29, the fixed fee is $9, and the cost per hour is $2. So we can write the equation as:
29 = 9 + 2h
To solve for h, we can subtract 9 from both sides of the equation:
29 - 9 = 9 + 2h - 9
20 = 2h
Finally, to find the value of h, we divide both sides of the equation by 2:
20/2 = 2h/2
10 = h
Therefore, Miguel rented the bike for 10 hours.
Equation: 9 + 2x = 29
Answer: 11 hours