Answer: See below
<u>Step-by-step explanation:</u>
y = a(b)ˣ
- y: final population of zombies
- a: initial population of zombies
- b: rate of decrease
- x: number of hours
Given: a = 500,000 b = 50% (0.5)
y = 500,000(0.5)ˣ
Since we want to know the number assassinated (A), subtract the total from the final population of zombies
A = 500,000 - y
a) Equation: 500,000 - 500,000(0.5)ˣ
b)
(Graph attached)
c) The assassins will earn 100,000 + 2(499,985) = $1,099,970 after 15 hours.
The number of zombies needed to assassinate in order to earn $1,000,000:
100,000 + 2z = 1,000,000
2z = 900,000
z = 450,000
d) How long will it take to eliminate all of the zombies?
The population of zombies is zero when x = 20 hours
How much money did the assassinators earn?
100,000 + 2(500,000) = $1,100,000
