without graphing determine whether the function represents exponential growth or exponential decay then find the y-intercept. y=12(17/10)^x
A) exponential growth; 1.7
B) exponential decay; 1.7
C) exponential growth; 12
D) exponential decay; 12
To determine if the function represents exponential growth or decay, we need to look at the base of the exponential term. In this case, the base is 17/10, which is greater than 1. This means that the function represents exponential growth.
To find the y-intercept, we need to substitute x=0 into the function:
y = 12(17/10)^0
y = 12(1)
y = 12
Therefore, the y-intercept is 12.
So, the correct answer is C) exponential growth; 12.