Question

The graph of the time re mex en to representent re a kayak. Wite a linear function in the form y a mot hoo represent the relationship of the total cost, c, of renting a kayak for t hours.I’

Answer 1

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:

1. **Assume the hourly rate**: For example, let’s say it costs \$10 per hour to rent the kayak.
2. **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!