II. f(x) doubles for each increase of 1 in the x values. Thus, r must be 2, and so we our ar^1 = 6 from ( I ) above becomes f(x) = a*2^x. Applying the restriction ar^1 = 6 results in f(1) = a*2^1 = 6, or a = 3.
Then f(x) = ar^x becomes f(x) = 3*2^2 (Answer A)
Given:
Table of values.
The train travels at a constant speed.
To find:
The speed of train in miles per hour.
Solution:
From the given table consider any two points, i.e., (0.5,22.5) and (1,45).
The train travels at a constant speed. It means, there is a linear relationship between time and distance.
The average rate of change (Slope) of a linear relationship is





So, average rate of change in distance with respect to time is 45.
Therefore, the speed of the train is 45 miles per hour.
Answer:
11.45 lumens
Step-by-step explanation:
We are given that

Where x=Depth
I=Intensity of light
We have to find the intensity of the light at a depth of 20 feet.
Substitute the value of x





Hence, the intensity of the light (in lumens) at a depth of 20 feet=11.45 lumens
Answer:C
Step-by-step explanation: