Question

The table below represents the distance of a car from its destination as a function of time:


Time
(hours)
x Distance
(miles)
y
0 900
1 850
2 800
3 750


Part A: What is the y-intercept of the function, and what does this tell you about the car? (4 points)

Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3, and tell what the average rate represents. (4 points)

Part C: What would be the domain of this function if the car traveled the same rate until it reached its destination? (2 points)

Answer 1

Great. Let's see how far you've gotten. I would first plot the points. Is it a straight line? Is there some other familiar shape?

Answer 2

i haven't done anything will you be able to work along with me? since i'm rly bad in algebra

Answer 3

do you not know wehre to start or what do you understanfd?

Answer 4

not all i'm clueless on what to do sorry

Answer 5

Hey, so essentially what you need to know is how to graph, so plot those points and make a line through it (connecting the dots).
This line gives you an equation in the form of \(y=mx+b\) where m is the slope, that is the rate of change, and b here is the y - intercept (where the line crosses the y-axis)

See if you can plot these points and make a graph first and we can continue from there :)

Answer 6

We'll use x for time and y for distance so your points are (x,y) as in your table

Answer 7

is it x 0, y 900

Answer 8

@desmarie

Answer 9

what part do you need help on?

Answer 10

all of it i have no idea what to do sorry this may take a while since i'm not that good in math

Answer 11

I am not that great either but I will still try

Answer 12

thank u so much :)

Answer 13

does it come with a pic?

Answer 14

nope sorry

Answer 15

Hey did you try what I said? I mean you can't keep saying I have no idea, it requires a little effort.

Answer 16

that's ok
the numbers under miles are they options or do you have to use them all?

Answer 17

yeah i answered back x o, y 900

Answer 18

Yes, that's one point now can you graph that, you may use the draw tool or desmos

Answer 19

ok

Answer 20

how do i do 900

Answer 21

You can let your graph go up by 200, so we can approximate