Question

Last year, 150 cases were reported of a new infectious disease. It has been predicted that the number will double every year. How many cases will be reported in the ninth year?

Question options:

38,400

166

76,800(INCORRECT)

256

Answer 1

Answer: 38,400

Explanation:

(150x2)->(300x2)->(600x2)->(1200x2)->(2400x2)->(4800x2)->(9600x2)->(19200x2)->9th term is 38,400

Answer 2

Answer total reported cases in the 9th year will be 153600

Explanation:

he compounding formula is as:

Here F is the future value

P is the present value

r is the rate at which the infection spreads in a year

n is the total number of years in consideration

Now, we know that the infection started spreading in the previous year and the question asks us How many cases will be reported in the ninth year from now. We will use the formula taking into the consideration that the total number of years is 10.

Thus, in the 9th year from now, the total cases of infection will be:

Thus, total reported cases in the 9th year will be 153600