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

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=-(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=-(3)/(2)x+15\\\\-15=-(3)/(2)x\\\\(-15)(-(2)/(3))=x\\\\x=10`

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

`y=-(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.