without graphing, determine whether the function represents exponential growth or exponential decay. then find the y-intercept.
y=129(1.63)^×
A. exponential growth;1.63
B. exponential decay;1.63
C. exponential growth;129
D. exponential decay;129
The function is in the form y = ab^x, where a represents the initial value and b represents the growth/decay factor.
In this case, the function is y = 129(1.63)^x.
To determine whether it represents exponential growth or exponential decay, we need to look at the base, which is 1.63. If the base is greater than 1, it represents exponential growth. If the base is less than 1, it represents exponential decay.
Since 1.63 is greater than 1, the function represents exponential growth.
To find the y-intercept, we need to set x=0 in the function:
y = 129(1.63)^0
y = 129(1)
y = 129
Therefore, the y-intercept is 129.
The correct answer is:
C. exponential growth; 129