Look at the picture and plzz help me
2 answers:
Answer: Option A.
Step-by-step explanation:
Let's analize each option:
Option A: Observe in the graph of g(x) that when x increases the value of y decreases. For example, when and when
However in the table of f(x) you can observe that the value of y increases when the value of x increases. For example, when
and when
Therefore, this statement is correct.
Option B: False. Because the y-intercept of functions are equal:
Option C: False. You can observe in the graph that the function g(x) does not have x-intercept.
Option D: False. The average rate of change of the function f(x) is:
The average rate of change of the function g(x) is:
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Step-by-step explanation:
We can model the annual consumption of iron by the equation
c = 900 million tons x , where
n is the number of years after 1993 and
c is the consumption for that year.
An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.
This equation simplifies to
C = 900 million tons x (1.025^n - 1) / ln(1.025), where
x is a dummy variable and
C is the total consumption of iron n years after 1993.
Let R be the amount of iron remaining at n years after 1993, so
R = 480 billion tons - C
R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)
We need to find the value of n when R is 0, so
0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)
Simplify this equation to obtain
n = 107.4
So the iron will run out in the year 1993 + 107 = 2100
Here’s your answer lemme know if it’s not clear
