AnswersFL-1200330-Algebra 2 CRModeling with Functions

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The distance it takes a car to come to a complete stop after the brakes are applied is related to the speed that the car is traveling. The stopping distances and speeds are shown in the table below.Stopping Distance of a Car vs. SpeedStopping Distance, d (in feet)Speed, s (in miles per hour)2017.894025.306030.988035.7810040.00Which equation best represents the data in the table?

A
s = 4 StartRoot d EndRoot
Option A
B
s = 0.37 d + 20
Option B
C
s = 13.7log(d)
D
s = StartFraction 1 Over 25 EndFraction d squared
Option D
2
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The graph below represents the path of a grasshopper as it jumps.Which type of function models the data on the graph?

Question illustration
A
inverse variation
B
linear
C
square root
D
quadratic
3

A rectangle with constant area has possible lengths and widths as shown in the table below. Width vs. Length of a RectangleWidth (w)Length (l)237.5418.75612.589.375Which equation can be used to find any corresponding length and width that fit the pattern in this table?

A
, where l is the length, w is the width, and k is a constant ()
Option A
B
, where l is the length, w is the width, and m and b are constants
Option B
C
, where l is the length, w is the width, and k is a constant
Option C
D
, where l is the length, w is the width, and a is a constant
Option D
4

Which type of function best models the data in the table below?xy244268110

Question illustration
A
inverse variation
B
linear
C
logarithmic
D
quadratic
5

The distance it takes a car to come to a complete stop after the brakes are applied is related to the speed that the car is traveling. The stopping distances and speeds are shown in the table below.Stopping Distance of a Car vs. SpeedStopping Distance, d (in feet)Speed, s (in miles per hour)2017.894025.306030.988035.7810040.00Which equation best represents the data in the table?

A
s = 4 StartRoot d EndRoot
Option A
B
s = 0.37 d + 20
Option B
C
s = 13.7log(d)
D
s = StartFraction 1 Over 25 EndFraction d squared
Option D
6

The pressure of a fixed volume of a certain gas is related to its temperature as shown in the table below.Temperature of Gas vs. Pressure Temperature (in degrees Celsius)Pressure (in pascals)44915293609568977699Which type of function best models the data in the table?

A
exponential
B
logarithmic
C
linear
D
quadratic
7

The pressure of a fixed volume of a certain gas is related to its temperature as shown in the table below.Temperature of Gas vs. Pressure Temperature (in degrees Celsius)Pressure (in pascals)44915293609568977699Which type of function best models the data in the table?

A
exponential
B
logarithmic
C
linear
D
quadratic
8

Which type of function best models the data in the table below?xy244268110

Question illustration
A
inverse variation
B
linear
C
logarithmic
D
quadratic
9

The amount of water pressure exerted on a scuba diver varies with depth. The graph below shows the relationship between pressure, p, in atmospheres, and depth, d, in ft.Depth of Water and Water PressureBased on the information in the graph, what is the water pressure at sea level?

Question illustration
A
atm
Option A
B
atm
Option B
C
0 atm
D
1 atm

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Scatterplots Answers — FL-1200330-Algebra 2 CR