Chapter 8.7, Problem 45STP

(a)

To determine

To graph the equation

Answer to Problem 45STP

Graph of equation of line is plotted.

Explanation of Solution

Given information: Snow Mountain Ski Resort offers a special season pass at the beginning of each ski season. The pass cost $\$35$ and an additional $\$25$ is charged each time you ski. The total cost can be represented by $y=35+25x$ , where $x$ is the number of times you ski

Formula Used:

Slope intercept form of line is $y=mx+c$ , where

  $m=$ Slope of graph of equation

  $c=$ y-intercept of graph of equation

Calculation:

Equation is given as

  $y=35+25x$

Comparing the above equation to slope intercept form of line $y=mx+c$ , slope and Y-intercept are

  $\begin{array}{l}m=25\\ c=35\end{array}$

Thus, y-intercept is at $\left(0,25\right)$ , which is the first point

Also, $m=35$ , this means that one will rise 35 (up) and run 1(to the right)

Thus, other point is $\left(1,60\right)$

On plotting the graph,

  

(b)

To determine

To state the slope and y-intercept

Answer to Problem 45STP

Slope is $25$ and Y-intercept is $35$

Explanation of Solution

Given information: Snow Mountain Ski Resort offers a special season pass at the beginning of each ski season. The pass cost $\$35$ and an additional $\$25$ is charged each time you ski. The total cost can be represented by $y=35+25x$ , where $x$ is the number of times you ski

Formula Used:

Slope intercept form of line is $y=mx+c$ , where

  $m=$ Slope of graph of equation

  $c=$ y-intercept of graph of equation

Calculation:

Equation is given as

  $y=35+25x$

Comparing the above equation to slope intercept form of line $y=mx+c$ , slope and Y-intercept are

  $\begin{array}{l}m=25\\ c=35\end{array}$