Answer: (a) y = 250(1.8)ˣ (b) 89,262 bacteria
Step-by-step explanation:
Use the exponential growth formula y = a(b)ˣ where
- a = Initial Value
- b = 1 + r (for growth) or 1 - r for decay
- r = rate (convert percent to a decimal)
a) Given: a = 250, r = 80% (.80) → b = 1.8
y = 250(1.8)ˣ
b) Given: x = 10
y = 250(1.8)¹⁰
y = 89,261.68 = 89,262 (rounded to the nearest whole number)
