Answer:
<em>t = 1.51</em>
Step-by-step explanation:
<u>Exponential Model</u>
The exponential model is often used to simulate the behavior of a magnitude that either grow or decay in proportion to the existing amount of that magnitude.
The model can be expressed as

In this case, Mo is the initial mass of the radioactive substance and k is a constant which value is positive if the mass is growing or negative if the mass is decaying.
The value of k is not precisely given in the question, we are assuming 
The model is now

We are required to compute the time it takes the mass to reach one-half of its initial value:

Simplifying

Taking logarithms

Solving for t

At the end of the 6 months the balance would be 360.54
Answer:
An exponential function.
Step-by-step explanation:
The inverse of the logarithmic function is an exponential function.
Answer:
a) 450. b) 1:1.25 c) 32 rooms
Step-by-step explanation:
1. 100*4.5 = 450
2. 16:20 divide by 4 -> 4:5 (simplifies to 1:1.25)
3. 64/2 = 32 rooms needed. They have 16.
Sorry if answers are wrong, the picture quality is really poor for me.