safyousuff97
  • safyousuff97
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)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
tkhunny
  • tkhunny
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?
safyousuff97
  • safyousuff97
i haven't done anything will you be able to work along with me? since i'm rly bad in algebra
anonymous
  • anonymous
do you not know wehre to start or what do you understanfd?

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safyousuff97
  • safyousuff97
not all i'm clueless on what to do sorry
Astrophysics
  • Astrophysics
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 :)
Astrophysics
  • Astrophysics
We'll use x for time and y for distance so your points are (x,y) as in your table
safyousuff97
  • safyousuff97
is it x 0, y 900
safyousuff97
  • safyousuff97
@desmarie
desmarie
  • desmarie
what part do you need help on?
safyousuff97
  • safyousuff97
all of it i have no idea what to do sorry this may take a while since i'm not that good in math
desmarie
  • desmarie
I am not that great either but I will still try
safyousuff97
  • safyousuff97
thank u so much :)
desmarie
  • desmarie
does it come with a pic?
safyousuff97
  • safyousuff97
nope sorry
Astrophysics
  • Astrophysics
Hey did you try what I said? I mean you can't keep saying I have no idea, it requires a little effort.
desmarie
  • desmarie
that's ok the numbers under miles are they options or do you have to use them all?
safyousuff97
  • safyousuff97
yeah i answered back x o, y 900
Astrophysics
  • Astrophysics
Yes, that's one point now can you graph that, you may use the draw tool or desmos
safyousuff97
  • safyousuff97
ok|dw:1450047411810:dw|
safyousuff97
  • safyousuff97
how do i do 900
Astrophysics
  • Astrophysics
You can let your graph go up by 200, so we can approximate |dw:1450047495763:dw|
Astrophysics
  • Astrophysics
|dw:1450047544567:dw| that's one point, and it will be the y - intercept
safyousuff97
  • safyousuff97
|dw:1450047615112:dw|
safyousuff97
  • safyousuff97
were should i place 1 i know thats not right
safyousuff97
  • safyousuff97
Part A - the y intercept for the function is 900 is that the answer for the first part ?
safyousuff97
  • safyousuff97
it tells me that that it took him 900 miles (also for part a)
Astrophysics
  • Astrophysics
Oh the 0,1,2..etc is the x - axis
safyousuff97
  • safyousuff97
oh ok but is my respnse for part a incorrect or correct?
safyousuff97
  • safyousuff97
*response
Astrophysics
  • Astrophysics
|dw:1450048054505:dw|
safyousuff97
  • safyousuff97
oh ok i get it
safyousuff97
  • safyousuff97
what are they asking for part b?
Astrophysics
  • Astrophysics
They want you to calculate the slope basically, that's a fancy way of saying it, so we may use \[\frac{ y_2-y_1 }{ x_2-x_1 }\] where we will be looking at the points corresponding to x = 1 and x = 3
Astrophysics
  • Astrophysics
So the y's corresponding with it
safyousuff97
  • safyousuff97
how do i solve the slope
Astrophysics
  • Astrophysics
\[m = \frac{ y_2-y_1 }{ x_2-x_1 }\] the two points are \[(1,850)~~~,(3,750)\] use that formula
safyousuff97
  • safyousuff97
will it be 283/249
safyousuff97
  • safyousuff97
in a fraction form tho
Astrophysics
  • Astrophysics
Your points are \[(x_1,y1)~~~,(x_2,y_2)\]
safyousuff97
  • safyousuff97
so its \[\frac{ 1 }{ x+y? }\]
Astrophysics
  • Astrophysics
What is that for? Simply plug in the points in the slope formula \[m = \frac{ 750-850 }{ 3-1 }\]
safyousuff97
  • safyousuff97
oh so its \[-\frac{ 775 }{ 2 }\]
Astrophysics
  • Astrophysics
What is 750-850?
safyousuff97
  • safyousuff97
-100
Astrophysics
  • Astrophysics
And what is -100/2?
safyousuff97
  • safyousuff97
-50
Astrophysics
  • Astrophysics
That's your slope
safyousuff97
  • safyousuff97
oh ok that was easy thanks to u
Astrophysics
  • Astrophysics
Np
Astrophysics
  • Astrophysics
Domain is the x values so see if you can get that part to
safyousuff97
  • safyousuff97
1,2,3

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