Math homework plssss help !!!! College

Question

Suppose we are treating a tumor that at the beginning of treatment weighed 6 milligrams.

The size of the tumor decreases exponentially with decay

factor 0.88.

Suppose that w presents the weight of the tumor at time t and

t represents the time t in months since treatment began..

A.

Write an equation that expresses the weight w of the tumor as a function of the time t since treatment began.

B.

Find the weight of the tumor after 3 months

Answer 1

The formula for exponential decay is....

y=a(1-b)x

y= final amount

a= original amount

b = decay factor

x= the number of intervals that have passed

To make our variables fit what your teacher is asking we will change the "y" to a "w" and the "x" to a "t"

From this, we can give numerical values to our variables....

W= unknown

a= 6mg

b= 0.88

t = 3 months

Now we can plug these values into our formula and solve....

W=a(1-b)^t

W = 6mg (1-0.88)³

W = 6mg (0.12)³

W = 6mg (0.001728)

W = 0.01036 mg

Equation: W = 6mg (1-0.88)³

Weight: 0.01036 mg