Let us solve the inequality first

Dividing through by 2 gives

Grouping like terms gives

This implies that;

This corresponds to option A in words
If we rewrite as

it will correspond to option C in words
Representing on diagram corresponds to option D (See attachment)
All are correct ways to represent the solution except B.
The correct answer is option B
Answer:
a) The half life of the substance is 22.76 years.
b) 5.34 years for the sample to decay to 85% of its original amount
Step-by-step explanation:
The amount of the radioactive substance after t years is modeled by the following equation:

In which P(0) is the initial amount and r is the decay rate.
A sample of a radioactive substance decayed to 97% of its original amount after a year.
This means that:

Then



So

(a) What is the half-life of the substance?
This is t for which P(t) = 0.5P(0). So







The half life of the substance is 22.76 years.
(b) How long would it take the sample to decay to 85% of its original amount?
This is t for which P(t) = 0.85P(0). So







5.34 years for the sample to decay to 85% of its original amount
Answer:
-3/2
Step-by-step explanation:
(y2 -y1)/(x2-x1)
(-2 + 5)/(0 - 2)
9514 1404 393
Answer:
8/7
Step-by-step explanation:

2.085 x 10^6 =
move the decimal 6 places to the right: 2,085,000