The slope is -1/2x in this case because it is always next to a variable y=mx+b.
Answer:
A
Step-by-step explanation:
We can see there are 2 parts of this function: one line for x<1 (because there is a circle for x=1, meaning it disincludes it) and one line for x >= 1 (because there is a filled circle for x=1, meaning it includes it). Therefore, we can disregard choice B (because it has x <= 1 and x > 1 instead of x<1 and x>= 1).
Notice that the part that x<1 passes through the origin, meaning the y-intercept is 0. In y= mx + b form of a line, b is the y-intercept, so b = 0 and we are looking for something in the form of y = mx for x < 1. Wee see that only in choice A that this is satisfied. Therefore, the answer is A.
I hope this helps! :)
The first answer, using a number line, is a good answer.
I have two other ways:
Way #1:
5 stones is more than 3 stones.
5 gallons is greater than 3 gallons.
5 pounds is greater than 3 pounds.
5 puppies is greater than 3 puppies.
5 hamburgers is greater than 2 hamburgers.
5 schoolbuses is greater than 3 schoolbuses.
We look around us, and we see that 5 of anything
is always greater than 3 of the same thing.
There's no reason that should change if the 'things' are eighths.
Way #2:
-- Get 2 friends to help you.
-- Take one good-size veggie pizza or coconut cream pie.
-- Carefully cut it up in eight (8) equal pieces.
Now each piece is 1/8 of the pie or the pizza.
-- Give 5 pieces (5/8) to the first friend.
Give 3 pieces (3/8) to the other friend.
-- Ask them to get together and agree on who has more.
