Answer:
f(t) = 62 ⋅ 0.9953t
Step-by-step explanation:
The function decreases at a rate of 0.47%
That will mean, the initial value decreases by 0.47?
100% - 0.47% = 99.53%
The next value will be 99.53% of the initial value.
∴ 99.53% × 62 = 0.9953 × 62.
After a time t, the value will be:
0.9953t × 62
∴ Answer = 62 × 0.9953
Answer:
Option first is the correct answer
Step-by-step explanation:
Equation for the exponential function is given by
[tex]A= P(1-r)^t[/tex]
where A is amount after t time
P = initial amount
r = rate of interest
If it is decreasing by rate of r%
Here in the question initial value is given to be 62 therefore P = 62
and rate of decreasing is 0.47% which can be written as 0.0047 in decimal form
[tex]f(t) = 62(1-0.0047)^t[/tex]
f(t) = 62[tex](0.9953)^t[/tex]
Is the exponential function that satisfies the condition
therefore option first is the correct answer,
