Chapter 9.5, Problem 26IP

a.

To determine

To state the slope and y-intercept of the graph of the equation and describe what they represent.

Answer to Problem 26IP

The slope $-\frac{3}{2}$ represents the rate of nuts used per muffin.

The y-intercept $\text{15}$ , represents the total teaspoons of chopped nuts.

Explanation of Solution

Given information:

The given statement is:

“Sam has $\text{15}$ teaspoons of chopped nuts. She uses $\text{1}\frac{1}{2}$ teaspoons for each muffins. The total amount of nuts that she has left $\text{y}$ after making $\text{x}$ muffins can be given by $\text{y}=-\frac{3}{2}\text{x}+\text{15}$ , as shown in the graph.”

  

The slope $-\frac{3}{2}$ represents the rate of nuts used per muffin.

The y-intercept $\text{15}$ , represents the total teaspoons of chopped nuts.

b.

To determine

To state and describe what the x-intercept represents.

Answer to Problem 26IP

The x-intercept is $10$ , according to the graph and it represents the number of muffins made.

Explanation of Solution

Given information:

The given statement is:

“Sam has $\text{15}$ teaspoons of chopped nuts. She uses $\text{1}\frac{1}{2}$ teaspoons for each muffins. The total amount of nuts that she has left $\text{y}$ after making $\text{x}$ muffins can be given by $\text{y}=-\frac{3}{2}\text{x}+\text{15}$ , as shown in the graph.”

  

The x-intercept is $10$ , according to the graph and it represents the number of muffins made.