Question

Find the exponential function that satisfies the given conditions: initial value = 56, decreasing at a rate of 0.42% per week

Answer 1

Answer:

Exponential function as per given condition $\Rightarrow y=56(0.9958)^x$

Step-by-step explanation:

Initial value = 56

Decreasing at rate = 0.42%

First we change percentage to decimal

So, 0.42% = 0.0042

Exponential function with decreasing or decay equation.

$y=a(1-r)^x$

where,

• y is final value of function.

• a is initial value of function.

• r is rate of decreasing

• x is number of week.

Now we substitute the given value into formula and we get exponential function.

$y=56(1-.0042)^x$

$y=56(0.9958)^x$

Thus, Exponential function as per given condition $\Rightarrow y=56(0.9958)^x$