Question

Write an equation in slope-intercept form for the total cost of skiing for$h$hours with one lift ticket.

Short answer

The equation in slope-intercept form for the total cost of skiing for$h$ hours with one lift ticket is$C=5h+15$.

Step-by-step solution

Step 1. Write the slope-intercept form of a line.

The equation of line in slope-intercept form is:

$y=mx+b$

Where$m$ is the slope of the line and$b$ is the $y$-intercept of the line.

Step 2. Write the equation in slope-intercept form for the total cost of skiing for h hours with one lift ticket.

It is given that cost of Lift ticket is $15/day and cost of ski rental is $5/hour.

It is given that number of hours is $h$.

As, the cost of ski rental is $5 for 1 hour. Therefore, the cost of ski rental for$h$ hours is $5h$.

Let$C$ represents the total cost of skiing.

Therefore, the total cost of skiing$C$ is given by:

$$\begin{gathered} C=\text{costofskirentalfor}h\text{hour}+\text{costof1liftticket} \\ =5h+15 \end{gathered}$$

Therefore, the equation in slope-intercept form for the total cost of skiing for$h$ hours with one lift ticket is $C=5h+15$. Where,$C$ represents the total cost of skiing and$h$ represents the number of hours.