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Modeling with Rates and Constants

Authored by Anthony Clark

Mathematics

6th Grade

CCSS covered

Modeling with Rates and Constants
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A constant rate of change is represented by a

linear line.

line that goes up.

line that goes down.

horizontal line.

Tags

CCSS.HSF-LE.A.1B

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Linear functions grow by a constant _____

rate

percent rate

Tags

CCSS.HSF-LE.A.1B

3.

MATH RESPONSE QUESTION

1 min • 1 pt

Emerson has $120. Each week, he saves an additional $15. Write a function, f(x) to model the total amount of money Emerson has after x weeks. f(x) = _________________

Mathematical Equivalence

ON

Tags

CCSS.HSF-BF.A.1A

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which if the following shows a quantity changing at a constant rate?

Lauren paying 5% interest each month when repaying a loan

Navya doubling the amount of books she reads every month

Lucas reading 70 pages per hour

Annika getting a 2% raise every year

Tags

CCSS.HSF-LE.A.1B

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A study was conducted to monitor the temperatures of two Florida cities on a random day in September from noon until 8pm. The first city, Orlando, had a temperature (in degrees fahrenheit) as a function of the time (in hours) represented by the following function. T(h)=105-5.5h The second city, Jacksonville, had a temperature (in degrees fahrenheit) as a function of time (in hours) is shown as a graph below. Which city cooled down at a faster rate?

Orlando

Jacksonville

The cities cooled down at the same rate.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

6.

MATH RESPONSE QUESTION

1 min • 1 pt

Mathematical Equivalence

ON

Tags

CCSS.HSF-BF.A.1A

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Water is being drained from a 12ft deep swimming pool that is built in the shape of a rectangular prism. The depth of the water decreases linearly. The depth of the water at 5pm was 10ft. The depth of the water at 5:15pm was 9.5ft. How deep will the pool be at 6:30pm?

7ft

7.5ft

6ft

5.5ft

Tags

CCSS.HSF-LE.A.1B

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