Answers PBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Modeling with Exponential and Logarithmic Equations

Modeling with Exponential and Logarithmic Equations — Unit test Answers

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Which is the graph of ?

Option

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What are the solutions to

x = negative 2 and x = negative 4

x = negative 1 and x = 8

x = 1 and x = negative 8

x = 2 and x = 4

What is written as a single logarithm?

4 log Subscript one-half Baseline 2 Superscript 4 Baseline u squared minus v cubed

log Subscript one-half Baseline w Superscript 4 Baseline (StartFraction u squared Over v cubed EndFraction)

log Subscript one-half Baseline (StartFraction w Superscript 4 Baseline Over u squared v cubed EndFraction)

log Subscript one-half Baseline (w (StartFraction u squared Over v cubed EndFraction)) Superscript 4

What are the domain and range of ?

domain: x > 1; range: y > 2

domain: x > 1; range: all real numbers

domain: all real numbers; range: y > 1

domain: all real numbers; range: all real numbers

Which expression is equivalent to ?

log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x

log Subscript 2 Baseline x + 3 log Subscript 2 Baseline 9

3 log Subscript 2 Baseline x minus log Subscript 2 Baseline 9

3 log Subscript 2 Baseline 9 minus log Subscript 2 Baseline x

What is the range of ?

all real numbers not equal to 0

all real numbers less than 6

all real number greater than 6

all real numbers

A scientist writes the equation to model the growth of a certain bacteria in a petri dish, where N represents the number of bacteria after h hours. After approximately how many hours will 450 bacteria be present? Round your answer to the nearest whole number.

1 hour

6 hours

13 hours

15 hours

The two expressions below have the same value when rounded to the nearest hundredth.What is the approximate value of to the nearest hundredth?

0.93

1.23

9.16

65.53

Which graph shows the solution to the equation below?

On a coordinate plane, a curve starts in quadrant 3 and curves up into quadrant 1 and approaches y = 3. It crosses the x-axis at (1, 0). A horizontal straight line is at y = 1.

On a coordinate plane, a curves starts in quadrant 4 and curves up into quadrant 1 and approaches y = 3. It crosses the x-axis at (1, 0). A horizontal straight line is at y = negative 1.

On a coordinate plane, a curve starts in quadrant 3 and curves up into quadrant 1 and approaches y = 1. It crosses the x-axis at (negative 1, 0). A horizontal straight line is at y = 1.

On a coordinate plane, a curves starts in quadrant 3 and curves up into quadrant 1 and approaches y = 2. It crosses the x-axis at (negative 1, 0). A horizontal straight line is at y = negative 1.

If you are given the graph of , how could you graph ?

Translate each point of the graph of g(x) 5 units up.

Translate each point of the graph of g(x) 5 units down.

Translate each point of the graph of g(x) 5 units left.

Translate each point of the graph of g(x) 5 units right.

Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10%. The second car depreciates at an annual rate of 15%. What is the approximate difference in the ages of the two cars?

1.7 years

2.0 years

3.1 years

5.0 years

Identify the equation that translates five units down.

y = l n (x minus 5)

y = l n (x) + 5

y = l n (x + 5)

y = l n (x) minus 5

An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded continuously. The equation represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use a calculator and round your answer to the nearest whole number.