Answer:
y=23,500
Step-by-step explanation:
General form for an exponential equation
y = ab^{x - h} + k y=ab
or
y = ab^x y=ab
Exponential growth and decay, when the quantity increases by a fixed percentage at regular intervals.
Exponential growth y = a(1 + r)^x y=a(1+r)
\because b = (1 + r) ∵b=(1+r)
Exponential decay y = a(1 - r)^x y=a(1−r)
x
\because b = (1 - r) ∵b=(1−r)
Where, a - initial value
r - decay or growth rate
x - Number of time intervals that have passed
Step 2: Set up an exponential equation from the given in formation
Given that:
Declined(Decay) rate r = 5% = 0.05
Players from the first game a = 23,500
Exponential decay y = a(1 - r)^x y=a(1−r)
x
y=23,500(1-0.05)^xy=23,500(1−0.05)
x
y=23,500(0.95)^xy=23,500(0.95)
x
Step 3: Build a table of values by evaluating the function at different x-values.
y=23,500(0.95)^xy=23,500(0.95)
If x = 0 then y = 23,500(0.95)^x y=23,500(0.95)
y = 23,500(0.95)^0 y=23,500(0.95)
y = 23,500 * 1 y=23,500∗1
y=23,500
