Question

Mr. Waxman is helping with deliveries for a shipping company. The graph shows a linear model for his delivery times on different days. (A) Identify two points on the line and write the coordinate pairs below. (B) Use your two points to find the slope, and make sure to show your work. (C) Use your slope from Part B and find the equation of the line in point-slope form. Show your work and work through the steps to transform the equation from point-slope form into slope-intercept form. (D) Based on the equation you found in Part C, predict how long it take Mr. Waxman to deliver his packages on Day 0. Approximately how much did his delivery time decrease per day? 2 SEE A

Answer 1

See below

Explanation:

Note: missing graph is attached

Solution

A) The two points are:

• (4, 19) and (7, 7)

B) Slope formula: m = (y2-y1)/(x2-x1)

• m = (7 - 19)/(7-4)
• m = -12/3
• m = -4

C) Point-slope formula:

• y - y1 = m(x - x1)

Using one of the points we get:

• y - 19 = -4(x - 4)

D) Delivery time on Day 0:

• y - 19 = -4(0 - 4)
• y - 19 = 16
• y = 16 + 19
• y = 35 minutes

Delivery time decreases by the value of the slope which is 4 minutes per day