anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Time (Hour) x Distance (Miles) y 0 900 1 850 2 800 3 750
anonymous
  • anonymous
I have absolutly no clear what I am doing but I have only 5 minutes to get the answer. :O
nincompoop
  • nincompoop
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

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anonymous
  • anonymous
I would except I don't have graph paper or anything like it
nincompoop
  • nincompoop
oh this is a study site, not answer my homework site
anonymous
  • anonymous
I understand that completely
nincompoop
  • nincompoop
try to solve for the slope from the start of the time and distance (initial) and end time and distance (final)
anonymous
  • anonymous
Never mind I ran out of time, thanks anyway :). I'll still fan, medal, and write a testimony about you though.
nincompoop
  • nincompoop
time (x) distance (y) x initial (x1) y initial (y1) x.. y.. x.. y.. x.. y... x final (x2) y final (y2)
Teddyiswatshecallsme
  • Teddyiswatshecallsme
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?
anonymous
  • anonymous
ok
nincompoop
  • nincompoop
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
anonymous
  • anonymous
I am still confsued about part b though
nincompoop
  • nincompoop
average rate of change is just your slope :)
Teddyiswatshecallsme
  • Teddyiswatshecallsme
Nin that's point slope form.
Teddyiswatshecallsme
  • Teddyiswatshecallsme
Not Slope Intercept.
anonymous
  • anonymous
Sorry guys I am just confused because I am a 7th grader and this is way beyand me.
Teddyiswatshecallsme
  • Teddyiswatshecallsme
Slope Intercept: y = mx + b
Teddyiswatshecallsme
  • Teddyiswatshecallsme
Hmm, then why do you have this homework?
nincompoop
  • nincompoop
point-slope form and slope-intercept form are related. you cannot arrive into the latter without solving the former in this scenario
anonymous
  • anonymous
I have this homeowkr because I am taking this advanced course
Teddyiswatshecallsme
  • Teddyiswatshecallsme
Ahhh alright.
nincompoop
  • nincompoop
try doing what I have been telling you and then we will go through them individually
anonymous
  • anonymous
Ok umm, hang on
nincompoop
  • nincompoop
I will give you the graphical and analytical point of view of the words such as intercepts
nincompoop
  • nincompoop
teaching you the concepts will help you solve future problems compare to telling you how to solve this.
nincompoop
  • nincompoop
at no extra cost :)
nincompoop
  • nincompoop
just pay me with your attention (time)
anonymous
  • anonymous
OK so what do I do for the first step? to solve part b?
nincompoop
  • nincompoop
so average rate of change or any rate of change pertains to the slope, m
anonymous
  • anonymous
Is there a formula for that?
Teddyiswatshecallsme
  • Teddyiswatshecallsme
Yes.
nincompoop
  • nincompoop
have you got an idea what slope is yet?
anonymous
  • anonymous
m = y1- y2 / x1 - x2? is that right?
nincompoop
  • nincompoop
correct
anonymous
  • anonymous
Yes!
nincompoop
  • nincompoop
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?
nincompoop
  • nincompoop
bear with me, I will draw some things for you to look at
anonymous
  • anonymous
Yes, I was just about to say dosn't slope only work for points? (ex. (3, 5) or (-2, 7))
nincompoop
  • nincompoop
it does and then we can use that same knowledge to solve any related-rate problem
nincompoop
  • nincompoop
|dw:1435975261422:dw|
nincompoop
  • nincompoop
we can say that your average rate of change (how much you're traveling at every moment in time) or simply your speed is going to be \(\large s = \frac{final~distance - initial~distance}{final ~time - initial~ time} \)
anonymous
  • anonymous
I understand this now thanks so much can you help with one more?
anonymous
  • anonymous
I got the answer right!
nincompoop
  • nincompoop
let us not try to skip because it will expand and be more complicated from this
anonymous
  • anonymous
Yes, I understood this and I wrote down my answer and got it right, I just need help with one more thing.
anonymous
  • anonymous
Explain how the Quotient of Powers was used to simplify this expression: \[2^{5}/8 = 22\] By finding the quotient of the bases to be 1/4 and cancelling common factors By finding the quotient of the bases to be 1/4 and simplifying the expression By simplifying 8 to 23 to make both powers base two and subtracting the exponents By simplifying 8 to 23 to make both powers base two and adding the exponents
nincompoop
  • nincompoop
now if we represent first drawing into graph, this is where the x's and y's appear |dw:1435975525773:dw|
nincompoop
  • nincompoop
thank you for your time. I do not like being rushed when I am trying to provide critical concepts.
nincompoop
  • nincompoop
|dw:1435975838805:dw|

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