Question

Find the exponential function that satisfies the given conditions:

Answer 1

Answer:

a = starting amount = 67

r = rate = 0.47% = 0.0047

t = week

Answer 2

Answer-

The exponential function that satisfies the given conditions is $f(t)=67(0.9953)^t$

Solution-

This can be represented as exponential decreasing function,

$f(t)=a(1 - r)^t$

Where,

• a = starting amount = 67
• r = rate = 0.47% = 0.0047
• t = week

Putting the values,

$\Rightarrow f(t)=67(1 - 0.0047)^t$

$\Rightarrow f(t)=67(0.9953)^t$

Therefore, the exponential function that satisfies the given conditions is

$f(t)=67(0.9953)^t$