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
Answer:
current volume of the water = 785.714 in²
Height of new container = 10 inches
Step-by-step explanation:
Radius of the container = 5 inches
Height of the container = 20 inches
Volume of the container = πR²H = (22/7) × 5² × 20 = 1571.428571428 in²
Since the container is half filled with water, volume of the water = 1571.428571428 ÷ 2 = 785.714 in²
b. Volume of cylinder = πR²H = volume of water from first container = 785.714 in²
Hence 785.714 = (22/7) × 5² × H
H = (785.714) ÷ [(22/7) × 25] = 10 inches
Height of new container = 10 inches
Answer:
1. The change per week is $40 as it is the coefficient.
2. The starting amount is $550 as it is the constant.
It is already simplified because there is nothing you can divide into both 18 and 25 that would result in whole numbers.
