Question

Hey has 15 teaspoons of chocolate chips. She uses 1 1/2 teaspoons for each muffin.The total number of teaspoons of chocolate chips that she has left y after making x muffins can be given by y=-3/2x+15. Graph the equation. Then interpret the x- and y-intercepts

Answer 1

Answer:  

The graph is attached.

 - The meaning of the  x-intercept is: The number of muffins she made by using all of teaspoons of chocolate chips

- The meaning of the y-intercept: The number of teaspoons of chocolate chips she had before she made any muffin.

Step-by-step explanation:

Given the equation of the line:

$y=-\frac{3}{2}x+15$

We need to find the x-intercept and the y-intercept.

To find the x-intercept, we must substitute $y=0$ into the equation and solve for "x":

$0=-\frac{3}{2}x+15\\\\-15=-\frac{3}{2}x\\\\(-15)(-\frac{2}{3})=x\\\\x=10$

To find the x-intercept, we can substitute $x=0$ into the equation and evaluate:

$y=-\frac{3}{2}(0)+15\\\\y=15$

Now we know that the line passes through these points:

$(10,0)\\\\(0,15)$

Then we can graph the equation.

The graph is attached.

Then, analizing the graph, we can conclude that:

- The meaning of the  x-intercept is: The number of muffins she made by using all the teaspoons of chocolate chips.

- The meaning of the y-intercept: The number of teaspoons of chocolate chips she had before she made any muffin.