Growth/Decay/logs

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

log₃81 = 

• 2
• 3
• 4
• 5

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Solve:
12^r = 13

• x = 1.03221
• x = 1.0808
• x = .9688
• x = .03476

The population of Boringtown decreased annually by 1.8% between the year 2015-2018. In 2015, there were approximately 200,000 people living in Boringtown. Which function models the city's population since 2015?

• f(x) = 200,000(1 + 0.018)³

• f(x) = 200,000(1 - 0.018)³

• f(x) = 200,000(1 - 0.18)³

• f(x) = 200,000(1 + 0.18)³

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

What does A represent in the above formula?

• The starting amount of money

• The end amount of money

• The interest rate amount

• The amount of time

• The number of times money is compounded each year

What does P represent in the above formula?

• The starting amount of money

• The end amount of money

• The interest rate amount

• The amount of time

• The number of times money is compounded each year

What does r represent in the above formula?

• The starting amount of money

• The end amount of money

• The interest rate amount

• The amount of time

• The number of times money is compounded each year

What does t represent in the above formula?

• The starting amount of money

• The end amount of money

• The interest rate amount

• The amount of time

• The number of times money is compounded each year