Question
Think back to the bike shop in Chile. The tour costs $50 for equipment plus $7.50 per hour. Write an equation to find the number of hours of the bike tour if you spent $110.
Answers
GPT-4o mini
Let's denote the number of hours of the bike tour as \( h \). According to the information provided, the total cost of the bike tour consists of a fixed equipment fee of $50 and a variable cost of $7.50 per hour.
The equation to represent the total cost \( C \) of the bike tour can be written as:
\[
C = 50 + 7.50h
\]
We know that the total cost \( C \) is $110. Therefore, we can set up the equation:
\[
110 = 50 + 7.50h
\]
Now, we can solve for \( h \) (the number of hours):
1. Subtract 50 from both sides:
\[
110 - 50 = 7.50h
\]
\[
60 = 7.50h
\]
2. Then divide both sides by 7.50:
\[
h = \frac{60}{7.50}
\]
\[
h = 8
\]
So, the number of hours of the bike tour is \( h = 8 \).
The equation to represent the total cost \( C \) of the bike tour can be written as:
\[
C = 50 + 7.50h
\]
We know that the total cost \( C \) is $110. Therefore, we can set up the equation:
\[
110 = 50 + 7.50h
\]
Now, we can solve for \( h \) (the number of hours):
1. Subtract 50 from both sides:
\[
110 - 50 = 7.50h
\]
\[
60 = 7.50h
\]
2. Then divide both sides by 7.50:
\[
h = \frac{60}{7.50}
\]
\[
h = 8
\]
So, the number of hours of the bike tour is \( h = 8 \).