Hello Pros,
I realize that this is a relatively easy question; however, please let me know if my thinking process is correct
On a scale that measures the intensity of a certain phenomenon, a reading of n+1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of n. On that scale, the intensity corresponding to a reading of 8 is how many times the intensity corresponding to a reading of 3?
A)5
B) 50
C) 10^5
D)5^10
E) 8^10 - 3^10
Here is what I did as i understood from the question:
n+1 = 10n --> then n = 1/9
from here i concluded that 10/9 is 10 times 1/9
so for example 8, which is 72/9 is how many times as great as 3, which is 27/9?
My thought process was that each leap of 9 is 10 times greater so 5 leaps of 9 would be 100,000 times greater since for example 37/9 is 10 times greater than 27/9 and 47/9 is 10 times greater than 37/9, so 47/9 would be 100 times greater than 27/9. Hence 8, which is 72/9, would be 100,000 times greater, or 10^5 greater than 3, which is 27/9.
Is this right?
I realize that this is a relatively easy question; however, please let me know if my thinking process is correct
On a scale that measures the intensity of a certain phenomenon, a reading of n+1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of n. On that scale, the intensity corresponding to a reading of 8 is how many times the intensity corresponding to a reading of 3?
A)5
B) 50
C) 10^5
D)5^10
E) 8^10 - 3^10
Here is what I did as i understood from the question:
n+1 = 10n --> then n = 1/9
from here i concluded that 10/9 is 10 times 1/9
so for example 8, which is 72/9 is how many times as great as 3, which is 27/9?
My thought process was that each leap of 9 is 10 times greater so 5 leaps of 9 would be 100,000 times greater since for example 37/9 is 10 times greater than 27/9 and 47/9 is 10 times greater than 37/9, so 47/9 would be 100 times greater than 27/9. Hence 8, which is 72/9, would be 100,000 times greater, or 10^5 greater than 3, which is 27/9.
Is this right?
