Answer
Choice D
Company 2 is greater in avg rate of change by $750
=======================================
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:
A: (-8, -1)
B: (2, -1)
C: (2, 5)
D: (-6, 5)
Step-by-step explanation:
If the trapezoid ABCD was able to translate 3 units to the left, we'll only need to calculate for all the input values!
Trapezoid in present:
A - -5
B - 5
C - 5
D - -3
Now move the units to the left!
Trapezoid in the future:
A - -8
B - 2
C - 2
D - -6
Then add the y values into the units
A: (-8, -1)
B: (2, -1)
C: (2, 5)
D: (-6, 5)
*************************************************
The answer is 100 % because it’s the same but with two zeros
Answer:
The 3rd term is
Step-by-step explanation:
From the given information, the first term of the sequence is
The common ratio of the sequence is
The explicit formula for a geometric sequence is :
To find the third term, we put n=3 to get:
This simplifies to:
