Answer
Choice D
Company 2 is greater in avg rate of change by $750
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Explanation:
Average rate of change is the same as slope through two points. The two points are the endpoints of the interval.
The x values we'll use is x = 0 and x = 12 since it constitutes the first 12 years (12-0 = 12)
For company 1, if x = 0 and x = 12, then y = 12000 and y = 30000 respectively. The two points (0,12000) and (12,30000) are on the graph for company 1
The slope of the line through these two points is
m = (y2-y1)/(x2-x1)
m = (30000-12000)/(12-0)
m = 18000/12
m = 1500
Over the first twelve years, the average rate of change for company 1 is 1500
For company 2, the points (0,15000) and (12,42000) are on the graph
The slope of the line through these two points is
m = (y2-y1)/(x2-x1)
m = (42000-15000)/(12-0)
m = (27000)/(12)
m = 2250
Over the first twelve years, the average rate of change for company 2 is 2250
Now find the difference in the slopes
2250-1500 = 750
Company 2's rate of change is larger by $750
So that's why the answer is choice D. Over this timespan, company 2 is growing faster on average compared to company 1
For every 33 green triangles, we have 77 yellow triangles.
So using the original ratio 33:77 we can simplify this by dividing both sides by 11 so that we get the ratio 3:7 so for every 3 green triangles we have 7 yellow triangles.
Answer:
I think it would be 5.49 as the height of the prism.
Step-by-step explanation:
I just did 7 × 5 which is 35, and then I did 192 ÷ 35 and got 5.49. I'm not completely sure but that's my best answer I hope it helps!
Answer is -h = -51 (download photomath)
For dark line
Slope
Equation in point slope form
Put (0,0)
As line is dark sign is ≤
The inequality
For dashed line
Equation in intercept form
Put (0,0)
Symbol is >
Inequality is
