Q18. - Algebra 1

Question

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

Step-by-Step Solution

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 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:

 

$$\begin{gathered} C=\text{cost of ski rental for }h\text{ hour}+\text{cost of 1 lift ticket} \\ =5h+15 \end{gathered}$$

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.