Question

The table below represents the distance of a car from its destination as a function of time:
(I'll post the table right now, also person who helps gets a medal, fan, and testimony)
Part A: What is the y-intercept of the function and what does this tell you about the car?

Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3 and what does the average rate represent?

Part C: What would be the domain of this function if the car traveled the same rate until it reached its destination?

Answer 1

Time (Hour) x Distance (Miles) y
0 900
1 850
2 800
3 750

Answer 2

I have absolutly no clear what I am doing but I have only 5 minutes to get the answer. :O

Answer 3

can you try to graph it first? this is an important skill to hone and then we can try to solve for other things analytically and graphically

Answer 4

I would except I don't have graph paper or anything like it

Answer 5

oh this is a study site, not answer my homework site

Answer 6

I understand that completely

Answer 7

try to solve for the slope from the start of the time and distance (initial) and end time and distance (final)

Answer 8

Never mind I ran out of time, thanks anyway :). I'll still fan, medal, and write a testimony about you though.

Answer 9

time (x) distance (y)
x initial (x1) y initial (y1)
x.. y..
x.. y..
x.. y...
x final (x2) y final (y2)

Answer 10

Part A is just talking about what is it the Y-intercept of the function, in other words, which column which is the y and what does it say about the equation?

Answer 11

ok

Answer 12

once you figure out the slope, then you can use the slope-intercept form \((y-y_1) = m \times (x-x_1) \) solve for y and whatever your constant is the y-intercept

Answer 13

I am still confsued about part b though

Answer 14

average rate of change is just your slope :)

Answer 15

Nin that's point slope form.

Answer 16

Not Slope Intercept.

Answer 17

Sorry guys I am just confused because I am a 7th grader and this is way beyand me.

Answer 18

Slope Intercept: y = mx + b

Answer 19

Hmm, then why do you have this homework?

Answer 20

point-slope form and slope-intercept form are related. you cannot arrive into the latter without solving the former in this scenario

Answer 21

I have this homeowkr because I am taking this advanced course

Answer 22

Ahhh alright.

Answer 23

try doing what I have been telling you and then we will go through them individually

Answer 24

Ok umm, hang on

Answer 25

I will give you the graphical and analytical point of view of the words such as intercepts

Answer 26

teaching you the concepts will help you solve future problems compare to telling you how to solve this.

Answer 27

at no extra cost :)

Answer 28

just pay me with your attention (time)

Answer 29

OK so what do I do for the first step? to solve part b?

Answer 30

so average rate of change or any rate of change pertains to the slope, m

Answer 31

Is there a formula for that?

Answer 32

Yes.

Answer 33

have you got an idea what slope is yet?

Answer 34

m = y1- y2 / x1 - x2? is that right?

Answer 35

correct

Answer 36

Yes!

Answer 37

now that is analytically looking at things, but what if you are not provided the x's and y's and you have to figure them yourself?

Answer 38

bear with me, I will draw some things for you to look at

Answer 39

Yes, I was just about to say dosn't slope only work for points? (ex. (3, 5) or (-2, 7))

Answer 40

it does and then we can use that same knowledge to solve any related-rate problem