Mr. Waxman's delivery is an illustration of a linear function.
(a) Two points on the graph
The points are: (4,19) and (6,11)
(b) The slope of the graph
The slope (m) is calculated as:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{11 - 19}{6- 4}}[/tex]
[tex]\mathbf{m = \frac{-8}{2}}[/tex]
[tex]\mathbf{m = -4}[/tex]
The slope of the graph is -4
(c) The equation of the graph
In point-slope form, we have:
[tex]\mathbf{y -y_1 = m(x - x_1)}[/tex]
So, we have:
[tex]\mathbf{y -4 = -4(x -19)}[/tex]
In slope intercept form, we have:
[tex]\mathbf{y = -4(x -19) + 4}[/tex]
Open brackets
[tex]\mathbf{y = -4x +76 + 4}[/tex]
[tex]\mathbf{y = -4x +80}[/tex]
The equation of the graph is: [tex]\mathbf{y = -4x +80}[/tex]
(d) The value of the function at day 0
This means that x = 0
So, we have:
[tex]\mathbf{y = -4(0) +80}[/tex]
[tex]\mathbf{y = 0 +80}[/tex]
[tex]\mathbf{y = 80}[/tex]
Hence, it will take 80 minutes to deliver the package on day 0
Read more about linear functions at:
https://brainly.com/question/20286983
