Q:

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

Accepted Solution

A:
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: [tex]y=-\frac{3}{2}x+15[/tex] We need to find the x-intercept and the y-intercept. To find the x-intercept, we must substitute [tex]y=0[/tex] into the equation and solve for "x": [tex]0=-\frac{3}{2}x+15\\\\-15=-\frac{3}{2}x\\\\(-15)(-\frac{2}{3})=x\\\\x=10[/tex] To find the x-intercept, we can substitute [tex]x=0[/tex] into the equation and evaluate: [tex]y=-\frac{3}{2}(0)+15\\\\y=15[/tex] Now we know that the line passes through these points: [tex](10,0)\\\\(0,15)[/tex] 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.