Module 8 review

Express the equation in exponential form (a) log₂16=4 . That is, write your answer in the form 2^A=B . Then A= and B=

• A= 4, B=16

• A= 16, B=4

• A= 4, B=6

• A= 6, B=4

Simplify the following into a single logarithm: 5log3+3logx

• log₅⋅3⋅x3

• log₅⋅3⋅3x

• log35x3

• log5⋅33x

Evaluate fx=log2x for f2 . f2=

• f2= 2

• f2= 4

• f2= 0.5

• f2= 1

Solve correct to 2 decimal places. 89x=70 x=

• x= 0.77

• x= 0.78

• x= 0.76

• x= 0.79

The current student population of New Orleans is 2200. If the population decreases at a rate of 2.7% each year. What will the student population be in 8 years? Write an exponential growth model for the future population P(x) where x is in years: Px = What will the population be in 8 years? (Round to nearest student)

• Px = 2200(0.973)^8, Population in 8 years = 1865

• Px = 2200(1.027)^8, Population in 8 years = 1865

• Px = 2200(1.027)^8, Population in 8 years = 2600

• Px = 2200(0.973)^8, Population in 8 years = 2600

A population of 50 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain up to 600 deer. Absent constraints, the population would grow by 70% per year. Estimate the population after one year p1 = Estimate the population after two years p2 =

• p1 = 85, p2 = 490

• p1 = 85, p2 = 600

• p1 = 85, p2 = 289

• p1 = 85, p2 = 144.5

A. If a population appears to be growing by the same number each year, we would say they have linear exponential growth. B. If a population appears to be growing by the same percentage each year, we would say they have linear exponential growth.

• A: linear, B: exponential

• A: exponential, B: linear

• A: linear, B: linear

• A: exponential, B: exponential

For each graph shown, match which growth model it best represents.

• Linear

• Exponential

• None of these

• None of these

More people are purchasing food from farmers' markets around the country. As a consequence, a market researcher predicts that the number of farmers' markets will increase by 2.3 % every six months. If there were 8208 farmers' markets in 2019, how many will there be in 9 years? What is the initial value, P0 in this problem? What is the growth factor or growth rate (as a decimal value)? What is the n value, or number of time periods?

• P0 = 8208, Growth rate = 0.023, n = 18, Number of markets in 9 years = 10000

• P0 = 8208, Growth rate = 0.023, n = 18, Number of markets in 9 years = 9000

• P0 = 8208, Growth rate = 0.23, n = 18, Number of markets in 9 years = 10000

• P0 = 8208, Growth rate = 0.23, n = 18, Number of markets in 9 years = 9000

A population grows according to an exponential growth model, with P0=20 and P1=36 Complete the recursive formula: Pn = ×Pn-1 Write an explicit formula for Pn

• Pn = 1.8×Pn-1, Pn = 36(1.8)^n

• Pn = 1.8×Pn-1, Pn = 20(1.8)^n

• Pn = 1.6×Pn-1, Pn = 36(1.6)^n

• Pn = 1.6×Pn-1, Pn = 20(1.6)^n