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Answer/Step-by-step explanation:
a. Using a point on the graph, (6, 12), and the slope of the line, we can first generate an equation in the point-slope form, given as , where,
m = slope, and (a, b) is a point on the line.
Using two points, (6, 12) and (3, 21), let's find slope, m.
Using a point (6, 12) and slope, m = -3, generate an equation in the point-slope form by substituting a = 6, b = 12, and m = -3 in .
✅Equation in point-slope form would be:
Rewrite this to make it be in the slope-intercept form, .
Add 12 to both sides
✅The equation in slope-intercept form is
b. ✍️Based on the linear model, , the 30 represents b = y-intercept.
✅Therefore, it took Peter 30 mins long initially to deliver his package.
✍️Based on the linear model, , "-3" represents the slope.
✅Therefore, Peter's delivery time decreased 3 mins per day.