Sinusoidal Function Context and Data Modeling Practice Set 1 (DR

Sinusoidal Function Context and Data Modeling Practice Set 1 (DR

12th Grade

40 Qs

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Sinusoidal Function Context and Data Modeling Practice Set 1 (DR

Sinusoidal Function Context and Data Modeling Practice Set 1 (DR

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

CCSS
6.EE.B.7, HSF.LE.B.5, HSF.IF.A.2

+1

Standards-aligned

Created by

VaQuasha Dean

Used 1+ times

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40 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

1. The figure at right shows the number of hours of daylight in St. Augustine, Florida. Hours of daylight are at a minimum of 10 hours in December. Hours of daylight are at a maximum of 14 hours in June. Let x represent the month of the year, where Jan. =1, Feb. = 2, and Dec. = 12. If y represents the number of hours of daylight in month x, use a sine function in the form y = A sin[B(x – C)] + D to model the hours of daylight. Explain the meaning of the points of inflection in context to the scenario.

The points of inflection represent the months where the rate of change of daylight hours is greatest.

The points of inflection represent the months with the least daylight hours.

The points of inflection represent the months with the most daylight hours.

The points of inflection have no specific meaning in this context.

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The London Eye Ferris wheel has a diameter of 135 meters. A ride on the Eye will complete one rotation every 30 minutes. Passengers board from a platform that is 2 meters above the ground. What is the equation that models the height above the ground as a function of time in minutes?

135 meters

137 meters

67.5 meters

2 meters

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

3. A person’s blood pressure can be modeled by the function f(t) = 20 sin(160πt) + 100, where f(t) represents the blood pressure at time t, measured in minutes. What is the period of the function?

0.0125 minutes

0.025 minutes

0.05 minutes

0.1 minutes

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The voltage V, produced in an alternating current generator can be modeled by V(t) = 220 sin(120πt). Find the amplitude and period.

Amplitude: 220, Period: 1/60

Amplitude: 220, Period: 1/120

Amplitude: 110, Period: 1/60

Amplitude: 110, Period: 1/120

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If a resistance of R = 20 ohms is present, what is the current I? Use Ohm’s Law V = IR.

I = 0.5 A

I = 1 A

I = 2 A

I = 5 A

Tags

CCSS.6.EE.B.7

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Fine the amplitude and period of the current I.

Amplitude: 5A, Period: 2s

Amplitude: 10A, Period: 4s

Amplitude: 15A, Period: 6s

Amplitude: 20A, Period: 8s

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A buoy in the Gulf of Mexico sends a signal beacon to a Coast Guard station. The behavior of the buoy can be modeled by the function h = a sin(bt) + 4.5, where h is measured in feet above sea level. During a recent tropical storm, the height varies from 1 foot to 8 feet with a 4.5 second interval between one 8-foot height to the next. Find the values of the constants a and b.

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