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):
- Subtract 50 from both sides:
\[ 110 - 50 = 7.50h \]
\[ 60 = 7.50h \]
- Then divide both sides by 7.50:
\[ h = \frac{60}{7.50} \]
\[ h = 8 \]
So, the number of hours of the bike tour is \( h = 8 \).
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