Exponentials and Logarithms Applications

Growth or Decay?

y = 3+4(2^4t)

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

Growth or Decay?

P = 250(0.87)^t

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

Growth or Decay?

T = 20(2^-t)

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

Tags

CCSS.HSF.BF.B.5

Calculate pH for [H⁺] = 4.33x10^-4 mol/L

• -3.4

• 3.4

• 7.7

• 0.000064

Tags

CCSS.HSF.BF.B.5

Tags

CCSS.HSF.BF.B.5

Calculate [H⁺] for pH = 8.6

pH = -log[H⁺]

• 184x10^-6

• 10^8.6

• 2.51x10^-9

• P(t) is the quantity at time t

• P₀ is the initial quantity

• 0.04 is the exponential growth rate

• 0.04 is the exponential decay rate

Tags

CCSS.HSF-IF.C.8B

If the half-life of Carbon 14 is 5730 years, and a fossil has 1% of the Carbon 14 left, how old is the fossil?

• 56700 years

• 38100 years

• 573000 years

• 83000 years

Tags

CCSS.HSF.LE.A.4