Nicky planted a tree in his backyard. He is 6 feet tall and his shadow along the ground has a length
of 8 feet. The tree is currently casting a shadow along
the ground that has a length of 24 feet. What would the
length of the tree's shadow along the ground be if the
tree were 6 feet taller?

=====================================

explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)

oof cheaters cheat because they’re lazy that’s why i cheat xd

: )

step-by-step explanation:

$12. that is my answer.