To represent the relationship of the total cost, \( c \), of renting a kayak for \( t \) hours with a linear function, you can use the formula for a linear equation in the form:
\[ c = mt + b \]
where:
- \( c \) is the total cost,
- \( t \) is the number of hours,
- \( m \) is the rate of cost per hour (the slope),
- \( b \) is the fixed fee (the y-intercept).
Assuming there is a fixed rental fee (like a deposit or base charge) and a rate for each hour you rent the kayak, you need to define these two values:
- Assume the hourly rate: For example, let’s say it costs $10 per hour to rent the kayak.
- Assume a fixed fee: If there is a fixed fee of $5 to rent the kayak, we can set that as our y-intercept.
Given this, the equation would look like:
\[ c = 10t + 5 \]
This represents:
- A $5 fixed cost to rent the kayak.
- An additional $10 for each hour you rent it.
Feel free to adjust the values of the hourly rate and fixed fee to match your specific situation if they differ!
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