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Michael797
Group Title
(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.
 2 years ago
 2 years ago
Michael797 Group Title
(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.
 2 years ago
 2 years ago

This Question is Closed

Akshay_Budhkar Group TitleBest ResponseYou've already chosen the best response.1
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?
 2 years ago

Michael797 Group TitleBest ResponseYou've already chosen the best response.0
i'm sorry but how would I find the equation from this?
 2 years ago

Akshay_Budhkar Group TitleBest ResponseYou've already chosen the best response.1
You can see the two points on the line (1,10) and (3,30) So the slope is 10, now using the slopepoint form the equation of that line is (y10)/(x1)=10
 2 years ago

Akshay_Budhkar Group TitleBest ResponseYou've already chosen the best response.1
Slope=m= (y2y1)/(x2x1)
 2 years ago

Michael797 Group TitleBest ResponseYou've already chosen the best response.0
Yeah so then that would go to...30  10 / 3  1 or 20 / 2. That simplifies to 10 / 1 or just 10
 2 years ago

Akshay_Budhkar Group TitleBest ResponseYou've already chosen the best response.1
Exactly, Now to find the equation, take any 1 point, use yy1/xx1=m=10 Then solve this to get the equation of that line and then just substitute x=7 to get the value of y :)
 2 years ago

Akshay_Budhkar Group TitleBest ResponseYou've already chosen the best response.1
i used (1,10) above^
 2 years ago

Michael797 Group TitleBest ResponseYou've already chosen the best response.0
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?
 2 years ago

Akshay_Budhkar Group TitleBest ResponseYou've already chosen the best response.1
nope, not in that manner,
 2 years ago

Akshay_Budhkar Group TitleBest ResponseYou've already chosen the best response.1
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\[{(y2y1)\over(x2x1)}={(y10)\over(x1)}=m=10\]
 2 years ago

Akshay_Budhkar Group TitleBest ResponseYou've already chosen the best response.1
taking x2,y2 as x,y and x1,y1 as 1,10
 2 years ago

Michael797 Group TitleBest ResponseYou've already chosen the best response.0
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.
 2 years ago

Michael797 Group TitleBest ResponseYou've already chosen the best response.0
Because the point we chose is (1,10)
 2 years ago

Akshay_Budhkar Group TitleBest ResponseYou've already chosen the best response.1
nope, see the equation above^ just solve that, so what do we get\[y10=10(x1) \therefore y10=10x10 \therefore y=10x\]
 2 years ago

Akshay_Budhkar Group TitleBest ResponseYou've already chosen the best response.1
so thats the equation of your line!
 2 years ago

Akshay_Budhkar Group TitleBest ResponseYou've already chosen the best response.1
the intercept is zero, u need to slove the equation above
 2 years ago

Akshay_Budhkar Group TitleBest ResponseYou've already chosen the best response.1
and its 2am here as well i got work in the morning :P
 2 years ago

Michael797 Group TitleBest ResponseYou've already chosen the best response.0
Would the final answer be 70,000 it looks as if it would be right
 2 years ago

Michael797 Group TitleBest ResponseYou've already chosen the best response.0
After estimating the graph it looks almost exactly that once it reaches 7, it would be at 70,000
 2 years ago

Michael797 Group TitleBest ResponseYou've already chosen the best response.0
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
 2 years ago

Akshay_Budhkar Group TitleBest ResponseYou've already chosen the best response.1
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
 2 years ago

Michael797 Group TitleBest ResponseYou've already chosen the best response.0
Yeah and thanks for showing me!
 2 years ago

Akshay_Budhkar Group TitleBest ResponseYou've already chosen the best response.1
no problem :)
 2 years ago
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