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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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

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Which of the following shows the true solution to the logarithmic equation solved below?

x = negative 8

x = 1

and

and

Tyna simplified the expression to . What was Tyna’s mistake?

She divided the coefficients incorrectly.

She added the exponents instead of subtracting them.

She divided the coefficients instead of subtracting them.

She subtracted the exponents instead of dividing them.

What is the range of the function graphed below?

y greater-than 0

y less-than 0

y greater-than 0

Jerome solved the equation below by graphing.Which of the following shows the correct system of equations and solution?

; x = 3

; x = 4

; x = 33

; x = 44

The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation , where I is the intensity of a given sound and I0 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when ?

320

737

Which of the following shows the graph of

On a coordinate plane, a curve approaches the y-axis in quadrant 3. It increases into quadrant 2 and crosses the x-axis at (negative 0.5, 0).

On a coordinate plane, a curve approaches the y-axis in quadrant 3. It increases into quadrant 2 and crosses the x-axis at (negative 4, 0).

On a coordinate plane, a curve approaches the y-axis in quadrant 4. It increases into quadrant 1 and crosses the x-axis at (0.5, 0).

On a coordinate plane, a curve approaches the y-axis in quadrant 4. It increases into quadrant 1 and crosses the x-axis at (4, 0).

Which equation has x = 4 as the solution?

log Subscript 4 Baseline (3 x + 4) = 2

log Subscript 3 Baseline (2 x minus 5) = 2

log Subscript x Baseline 64 = 4

log Subscript x Baseline 16 = 4

Which function is shown in the graph below?

y = 2 Superscript x minus 2 Baseline + 3

y = 2 Superscript x + 2 Baseline + 3

y = 2 Superscript x minus 3 Baseline + 2

y = 2 Superscript x + 3 Baseline + 2

Which of the following shows the graph of y = –(2)x – 1?

On a coordinate plane, a curve is level at y = 0 in quadrant 2 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, negative 0.5).

On a coordinate plane, a curve is level at y = negative 1 in quadrant 3 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, negative 2).

On a coordinate plane, a curve is level at y = 1 in quadrant 3 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, 0).

On a coordinate plane, a curve is level at y = 0 in quadrant 2 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, negative 2).

Which function has a horizontal asymptote of y = 3?

f(x) = 3(2x)

f(x) = 2(4)x–3

f(x) = 2(3x)

f(x) = 2(4x) + 3

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

One brand of vinegar has a pH of 4.5. Another brand has a pH of 5.0. The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. What is the approximate difference in the concentration of hydrogen ions between the two brands of vinegar?

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