Which of the following represent an exponential growth function?
1 answer:
Answer:
Step-by-step explanation:
<u>Exponential Growth Function </u>
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential growth function is expressed as:
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the (positive) growth rate, expressed in decimal
Since r is positive, 1+r is greater than 1.
From the available options, only the last two of them correspond to exponential functions according to the definition above.
Note the third option has a base of 1/3 which is not greater than 1. In fact, it corresponds to an exponential decay function.
The last option has a base 3 and corresponds to a value of r=2 which correctly fits with the definition presented above, thus the correct choice is
You might be interested in
Answer:
149 engines in 9th year
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
From a look at the photo and the data plot can be represented by the function, so we can pick 2 points in our given graph
- (x1, y1) = (2,60)
- (x2, y2) = (5,99)
The standard form of a linear equation is:
y = mx + b where:
- m is the slope
- b is the y-intercept
We know the slope of the function can be found as following:
so in this situation we have:
<=>
=> y = 13x + b (1)
Because the line goes through point (2,60) so we substitute it into (1):
60 = 13*2 + b
<=> b = 60 - 26 = 34
=> y = 13x + 34
Now we will substitute x=9 to find the engines produced by company in 9th year as:
Hence, the company will produce 149 engines in 9th year
