To find the value of the company's assets when it was founded, we can substitute x=0 into the function f(x):
f(0) = -0.5(0) + 5(0) + 2
f(0) = 2
Therefore, when the company was founded, it had 2 million dollars in assets.
1)
The total assets of a company in millions of dollars can be modeled by the function f(x)=−0.5x+5x+2
, where x
represents the number of years that have passed since the company was founded.
When the company was founded, it had
(1 point)
Responses
0
0
2 million
2 million
6.5 million
3 answers
dollars.
The highest value of total assets that the company had over its entire history was
(1 point)
Responses
10
10
10.4
10.4
14.5
The highest value of total assets that the company had over its entire history was
(1 point)
Responses
10
10
10.4
10.4
14.5
To find the highest value of total assets that the company had over its entire history, we can find the maximum value of the function f(x).
The function given is f(x) = -0.5x + 5x + 2
To find the maximum value, we can take the derivative of the function and set it equal to 0:
f'(x) = -0.5 + 5 = 0
-0.5x + 5 = 0
-0.5x = -5
x = 10
Now we can plug x = 10 back into the original function to find the maximum value of total assets:
f(10) = -0.5(10) + 5(10) + 2
f(10) = -5 + 50 + 2
f(10) = 47
Therefore, the highest value of total assets that the company had over its entire history was 47 million dollars.
The function given is f(x) = -0.5x + 5x + 2
To find the maximum value, we can take the derivative of the function and set it equal to 0:
f'(x) = -0.5 + 5 = 0
-0.5x + 5 = 0
-0.5x = -5
x = 10
Now we can plug x = 10 back into the original function to find the maximum value of total assets:
f(10) = -0.5(10) + 5(10) + 2
f(10) = -5 + 50 + 2
f(10) = 47
Therefore, the highest value of total assets that the company had over its entire history was 47 million dollars.
1 answer