Question

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.
A first−quadrant grid with 'Revenue (in 1000 dollars)' as they y−axis label and 'Number of Quarters' as the x-axis label. The y axis ranges from 0 to 55 with an interval of 5 units. The x axis ranges from 0 to 7 with an interval of 1 unit. There are points at the following locations: (1, 1)(2, 25)(3, 30)(4, 40). A straight line is drawn through the points and passes through (1, 1)(3, 30) and (4, 40).
Based on the linear model, how much revenue, in tho

Answer 1

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.

A first−quadrant grid with 'Revenue (in 1000 dollars)' as they y−axis label and 'Number of Quarters' as the x-axis label. The y axis ranges from 0 to 55 with an interval of 5 units. The x axis ranges from 0 to 7 with an interval of 1 unit. There are points at the following locations: (1, 1)(2, 25)(3, 30)(4, 40). A straight line is drawn through the points and passes through (1, 1)(3, 30) and (4, 40).

Based on the linear model, how much revenue, in thousands of dollars, should the company earn in its 6th quarter of operation? Type your answer in the box below.

Answer 2

@ganeshie8 @cydneehill please?

Answer 3

wats the question, did u go thru... already ?
or u want we read it once ? :)

Answer 4

i just do not get what they are trying to say i'm not lying believe it or not i have been on this exam for 2 days because it's online so i really need help

Answer 5

i'm sorry if i made it seem like i was rushing you but i'm not and ok take the time

Answer 6

What they want to know is where the line will cross x=6 Im just eye balling it but it looks to me like the point will be (6,50)

Answer 7

which would be 50,000

Answer 8

ok thnx i have to go to sleep good night to both of you and thank you so much for your help and @Directrix sorry if i was being too harsh

Answer 9

hey wait a sec,

Answer 10

yes?

Answer 11

Night don't let the little critters bite

Answer 12

critters?

Answer 13

graph is misleading, as the grid is skewed

Answer 14

since they askign us to use linear model, we need to follow the equation of line :-

(1, 1)(3, 30)(4, 40)

Answer 15

thats just comes out to be :-
revenue = 10 x quarters

Answer 16

plugin quarters = 6 above

Answer 17

I know I was just trying to tell him what to look at and where his answer will fall around. Im sorry I should of said that.

Answer 18

her

Answer 19

ha.. is it clear to \(her\) nw ? :)

Answer 20

not really :(

Answer 21

Looking at this I am thinking they want the 50,000 answer. They put the line through and its not hitting all the points which makes me think they are also generalizing. Plus if you solve for the slope of the line you will hit the (6,50).

Answer 22

they gave us,the line is passing thru points :-
(1, 1)(3, 30)(4, 40)

slope = (40-30)/(4-3) = 10

that gives

revenue = 10 x (# of quarters)
= 10 x 6
= 60

Answer 23

I'm done here :)

Answer 24

ok thnx and bye

Answer 25

ah yes your right i was taking it to the 5 not the 6, 60 would be right or 60,000 actually

Answer 26

:) glad we nailed it

Answer 27

No two of the three points {(1, 1)(3, 30)(4, 40)} yields the same slope for the line of best fit. That is, as expected.

No equation is given for that "line" so I'm wondering if you use the two points (1,1) and (3,30) to get a slope of 13, do you @ganeshie8 stand by the answer of 60,000.

In accordance with your thinking, then we would multiply 13 x 6 to get 78 or 78,000.

Then, I looked at the diagram of the best fit line, and it seems to be an "over one, up two" kind of thing which would land me at 60,000. Maybe I overthought the problem.

Answer 28

@cydneehill I'm interested in your thinking on the problem, too.

Answer 29

Well the fact they just were taking the general line of the equation rather than making sure the line went trough each point led me to believe they just want you to eyeball it and looking at it i think the line will be 60,000

Answer 30

I agree.