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Modeling With Polynomial

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Modeling With Polynomial
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Scenario 1: The population of a city is currently 50,000. It is estimated that the population will increase by 1,200 people each year. What is the polynomial equation to represent the population of the city as a function of the number of years since the current population count?

P(t) = 50000 + 1200t

P(t) = 50000 - 1200t

P(t) = 50000t + 1200

P(t) = 1200t - 50000

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A concert venue charges $30 for each ticket sold. The number of tickets sold for a particular concert is represented by 'x'. Write a polynomial equation to represent the revenue generated from ticket sales as a function of the number of tickets sold.

R(x) = 30x

R(x) = 30 + x

R(x) = 30x + 1

R(x) = x - 30

Tags

CCSS.HSA-SSE.A.1A

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The water level in a reservoir is decreasing at a constant rate of 0.3 meters per year. The initial water level is 10 meters. What is the polynomial equation to represent the water level in the reservoir as a function of the number of years since the initial measurement?

W(t) = 10 + 0.3t

W(t) = 10 - 0.3t

W(t) = 0.3t - 10

W(t) = 10t - 0.3

Tags

CCSS.HSF-BF.A.1A

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A ball is thrown into the air with an initial velocity of 30 meters per second. The height of the ball (in meters) can be modeled by the quadratic function h(t) = -5t² + 30t + 5, where t represents time in seconds. What is the maximum height the ball reaches?

A) 45 meters

B) 50 meters

C) 55 meters

D) 60 meters

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A satellite dish is mounted on a wall. The height (in meters) of the satellite dish above the ground as it moves horizontally along a wall is given by the quadratic function h(x) = -0.1x² + 5x + 2, where x represents the horizontal distance from the starting point. What is the height of the satellite dish when it is 10 meters away from the starting point?

42 meters

45 meters

40 meters

55 meters

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

1000 t-shirts

1250 t-shirts

1500 t-shirts

1750 t-shirts

7.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Media Image

Which equations would BEST model the following data (select all that apply)

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