Growth and Decay Problems

Which equation matches the table?

Is the equation representing growth or decay?

• Growth

• Decay

Which equation matches the following: Initial value = 120 Decay Rate = 50%

North Dakota has recently had the fastest growing population out of all 50 states. On Jan 1, 2013, the population of North Dakota was 700,000 people. North Dakota’s population has been growing by 5% per year. Express North Dakota’s population, N, in terms of years since 2013, t. Check the BEST answer:

• N=700,000(1.05)t

• N=700,000(1.5)t

• N=700,000(1-0.05)^t

• N=700,000(0.95)^t

An air freshener starts with 30 grams of fluid, and the amount of fluid decreases by 12% per day. Express the amount of grams of freshener, Q, that remains, t, days after it has begun being used. Check the BEST answer: (HINT: that means simplify what is in the parenthesis)

• Q=30(1+0.12)^t

• Q=30(1-0.12)^t

• Q=30(0.88)^t

• Q=12(1.30)^t

What is the initial quantity?

What is the growth rate?

Write as a percent!

P = 8(1.23)^t

Is the function growth or decay?

Check the box:

• Growth

• Decay

What is the initial quantity?

What is the DECAY rate? Write as a percent! CAREFUL!!!