anonymous
  • anonymous
(Graph Attached) The graph below shows the revenue earned by a company in its first four quarters of operation. A line of best fit has been drawn on the graph. Based on the linear model, how much revenue, in thousands of dollars, should the company earn in its 7th quarter of operation? Type your answer in the box below.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
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anonymous
  • anonymous
1 Attachment
Akshay_Budhkar
  • Akshay_Budhkar
Step 1: Find the equation of that line, by finding the slope using the two points giving, Step2:substitute x=7 and find the value of y. Can you find the equation of that line?
anonymous
  • anonymous
i'm sorry but how would I find the equation from this?

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Akshay_Budhkar
  • Akshay_Budhkar
You can see the two points on the line (1,10) and (3,30) So the slope is 10, now using the slope-point form the equation of that line is (y-10)/(x-1)=10
Akshay_Budhkar
  • Akshay_Budhkar
Slope=m= (y2-y1)/(x2-x1)
anonymous
  • anonymous
Yeah so then that would go to...30 - 10 / 3 - 1 or 20 / 2. That simplifies to 10 / 1 or just 10
Akshay_Budhkar
  • Akshay_Budhkar
Exactly, Now to find the equation, take any 1 point, use y-y1/x-x1=m=10 Then solve this to get the equation of that line and then just substitute x=7 to get the value of y :)
Akshay_Budhkar
  • Akshay_Budhkar
i used (1,10) above^
anonymous
  • anonymous
m = 10. x = 7 But what does b equal, cause if i'm gonna put it in an equation how would I get the "b" in y=mx+b?
Akshay_Budhkar
  • Akshay_Budhkar
nope, not in that manner,
Akshay_Budhkar
  • Akshay_Budhkar
see to find the equation take any point (x,y) and a point you know (lets take (1,10) ) so now we know the slope is 10.. but the slope is also\[{(y2-y1)\over(x2-x1)}={(y-10)\over(x-1)}=m=10\]
Akshay_Budhkar
  • Akshay_Budhkar
taking x2,y2 as x,y and x1,y1 as 1,10
anonymous
  • anonymous
My brain is not working but thank you for the patience, it's 2 am lol. I'm just trying to finish this last question. But Ok yes that all equals m=10 and now that we know the slope, and we know the Y intercept is 10.
anonymous
  • anonymous
Because the point we chose is (1,10)
Akshay_Budhkar
  • Akshay_Budhkar
nope, see the equation above^ just solve that, so what do we get\[y-10=10(x-1) \therefore y-10=10x-10 \therefore y=10x\]
Akshay_Budhkar
  • Akshay_Budhkar
so thats the equation of your line!
Akshay_Budhkar
  • Akshay_Budhkar
the intercept is zero, u need to slove the equation above
Akshay_Budhkar
  • Akshay_Budhkar
and its 2am here as well i got work in the morning :P
anonymous
  • anonymous
Would the final answer be 70,000 it looks as if it would be right
anonymous
  • anonymous
After estimating the graph it looks almost exactly that once it reaches 7, it would be at 70,000
anonymous
  • anonymous
Oh how could I not realize...the 1 is on 10,000, the 3 is on 30,000, the 4 is on 40,000 jeez I made this alot harder than it it LOL
Akshay_Budhkar
  • Akshay_Budhkar
yea thats your answer, see you dont always need the intercept to write the equation, if u got the slope and a point we get the equation as shown above^ And yes it was so simple, i could have told you the shortcut , but i went through the steps :P
anonymous
  • anonymous
Yeah and thanks for showing me!
Akshay_Budhkar
  • Akshay_Budhkar
no problem :)

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