Mr. and Mrs. Smith started walking home from different locations at the same time. They each walked at a constant speed.
Mr. Smith's distance (in kilometers) from home as a function of time (in minutes) is given by the following table of values:
Time Distance
14 3.6
21 2.9
28 2.2
The graph of Mrs. Smith's distance (in kilometers) from home as a function of time (in minutes) is shown below.
Who walked a greater distance to get home?
Choose 1
(Choice A) Mr. Smith
(Choice B) Mrs. Smith
(Choice C) They both walked the same distance
Who walked faster?
Choose 1
(Choice A) Mr. Smith
(Choice B) Mrs. Smith
(Choice C) They both walked at the same speed

Mr. Smith walked a greater distance, but Mrs. Smith walked faster

Step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation: