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.
