Question

PLS HELP ASAP! 40 POINTS!!!

Scott works as a delivery person for a shipping company. The graph shows a linear model for his delivery times on different days.

(a) What is the equation of the line, first written in point-slope form and then written in slope-intercept form? Show how you determined the equation.

(b) Based on the linear model, predict how long it initially took Scott to deliver his packages. Approximately how much did his delivery time decrease per day?

pls help me i beg :(

Answer 1

At x = 0, his delivery time was 30 minutes. It decreased by 3 minutes per day.

Explanation:

hope it helpssss

Answer 2

Explanation:

(a) The slope of the line can be computed using the two marked points:

vertical change / horizontal change = (-12 minutes)/(4 days) = -3 minutes/day

Then the equation of the line can be written using point-slope form:

y -18 = -3(x -3)

y = -3x +9 +18 . . . . eliminate parentheses and add 18

y = -3x +27 . . . . . . simplify to slope-intercept form

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(b) Initial delivery time is the value of y when x=0. That is 27 minutes. (You can also read this at the left edge of the graph.)

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The slope in part (a) tells you delivery time decreases by 3 minutes per day.