Answers SS4 PGCPS ALGEBRA 2 OC SUMMER 2027 - 793033Base e

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The range of which function is ?

y = 2x

y = 2(5x)

y = 5x +2

y = 5x + 2

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Calvin deposits $400 in a savings account that accrues 5% interest compounded monthly. After c years, Calvin has $658.80. Makayla deposits $300 in a different savings account that accrues 6% interest compounded quarterly. After m years, Makayla has $613.04. What is the approximate difference in the number of years that Calvin and Makayla have their money invested?

Makayla invests her money 1 year longer.

Makayla invests her money 2 years longer.

Calvin invests his money 1 year longer.

Calvin invests his money 2 years longer.

For what value of n does ?

–3

Negative three-halves

Three-halves

Which of the following shows the graph of y = 4x + 3?

On a coordinate plane, an exponential function starts at y = 3 in quadrant 2 and then increases rapidly into quadrant 1.

On a coordinate plane, an exponential function starts at y = 0 in quadrant 2 and then increases rapidly in quadrant 2.

On a coordinate plane, an exponential function starts at y = 0 in quadrant 2 and then increases rapidly into quadrant 1.

On a coordinate plane, an exponential function starts at y = negative 3 in quadrant 3 and then increases rapidly into quadrant 1.

If , what is the value of s?

–1

no solution

Which equation is represented by the graph below?

y = l n x minus 3

y = l n x minus 4

y = e Superscript x Baseline minus 3

y = e Superscript x Baseline minus 4

What is the domain of ?

all real numbers less than –3

all real numbers greater than –3

all real numbers less than 3

all real numbers greater than 3

An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The value of a car is half what it originally cost. The rate of depreciation is 10%. Approximately how old is the car?

3.3 years

5.0 years

5.6 years

6.6 years

What is the range of the function

all real numbers less than –1

all real numbers greater than –1

all real numbers less than 1

all real numbers greater than 1

What is the approximate value of ?

0.233

0.557

0.620

1.796

If the equation below is solved by graphing, which statement is true?

The curves intersect at approximately x = 0.46.

The curves intersect at approximately x = 0.75.

The curves intersect at approximately x = 1.11.

The curves intersect at approximately x = 3.07.

Which is the graph of ?

On a coordinate plane, a curve starts at y = negative 3 and curves up into quadrant 1. It approaches y = 3.

On a coordinate plane, a curve starts at y = negative 2 and curves up into quadrant 2. It approaches y = 2 in quadrant 2.

On a coordinate plane, a curve starts at y = 3 and curves down into quadrant 4. It approaches y = negative 3 in quadrant 4.

On a coordinate plane, a curve starts at y = 4 and curves down into quadrant 3. It approaches y = negative 3 in quadrant 3.

What is the solution of log2 (3x - 7) = 3?

One-third

Sixteen-thirds

The magnitude, M, of an earthquake is defined to be , where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. What is the magnitude of an earthquake that is 35 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.

–1.5

–0.5

1.5

3.6

What is the true solution to the equation below?

x = 2

x = 4

x = 8

x = 64

What is the range of the function

y less-than 0

y greater-than 0

y less-than 4

y greater-than 4

Which function is shown in the graph below?

y = (one-half) Superscript x + 3 Baseline minus 1

y = (one-half) Superscript x minus 3 Baseline + 1

y = (one-half) Superscript x minus 1 Baseline + 3

y = (one-half) Superscript x + 1 Baseline minus 3

The height of a plant over time is shown in the table below. Using a logarithmic model, what is the best estimate for the age of the plant when it is 19 inches tall?Plant Heightt, time in monthsh, height in inches118218.21318.33418.42518.48618.54

10 months

14 months

16 months

28 months

Which graph represents an exponential decay function?

On a coordinate plane, a curve opens up and to the right in quadrant 4.

On a coordinate plane, a curve opens up and to the right in quadrants 1 and 2. The line rapidly decreases in quadrant 2 and then curves and approaches the x-axis in quadrant 1.