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:

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3