Question

Algebra help. Will give medal??!!!

Answer 1

2. The table below represents a linear function f(x) and the equation represents a function g(x).
X F(x)
0 28

1 30
2 32

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

Part A:
Find the Slope of f(x):
Find the Slope of g(x):
Write a sentence comparing the two slopes:
Part B:
What is the y-intercept of f(x):
What is the y-intercept of g(x):
Which one is greater?

Answer 2

In part A, it says there are 2 functions?

Answer 3

g(x) = 10x - 25

Answer 4

Alright, well first let's find the slope of the table. Do you remember the formula? m=y2-y1
x2-x1

Answer 5

yes

Answer 6

Alright so the slope of first function is 2/1, or 2. And the other function already gave you the slope, 10. Does that help?

Answer 7

yes

Answer 8

so for f(x) its 2 and for g(x) its 10 right?

Answer 9

I'm not good at explaining this but I just finished a unit on this. Yes. f(x) is 2 and g(x) is 10.

Now I'm not sure how you're suppose to compare them, but I can show you how the steps.

Answer 10

ok thank you!

Answer 11

Np! Need anything else?

Answer 12

yeah forpart b can you help me there too?

Answer 13

Yeah!

Answer 14

Alright, so to find the y-intercept, you have to subsitute 0 for x in the equation. So let's start with function g(x) since it's already in the equation.

Answer 15

ok so g(0)

Answer 16

g(x) = 10x - 25

g(0) = 10(0) - 25
=0 - 25
= -25

Answer 17

Does that make sense? How I did that? It was really confusing for me at first.

Answer 18

so that's for the g(x) intercept

Answer 19

Yes. Now for the f(x), that's a lot more work. So what we're gonna do is write an equation like the one for g(x).

f(x) = -2x - b

Answer 20

where b is the y-intercept.

Answer 21

ok

Answer 22

So what we're gonna do is take a point from the table, let's just use (0,28). Now we're gonna plug those in to the equation and use f(x) as y. Like so

28= -2(0) + b

Answer 23

Good so far?

Answer 24

yes ma'am!

Answer 25

Awesome!

Okay, now you're just gonna solve as if it were any other equation solving for y. Only here you are solving for b.

28 = -2(0) +b

28 = 0 + b
28 = b

Answer 26

So your y-intercept for function f(x) is 28. :)

Answer 27

ohhh!!!

Answer 28

Does that help?

Answer 29

it helps a lot, trust me I have been stuck on this for na whole week!

Answer 30

Haha! Oh no! Well I'm glad I could help!

Answer 31

Is that everything you needed?

Answer 32

lo thank you super alotsss!!!!!

Answer 33

Haha Np!