exponential growth and decay

exponential growth and decay

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Mathematics

8th Grade

Hard

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46 questions

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1.

FLASHCARD QUESTION

Front

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Options: y=6(0.14)x, y=6(1+14)x, y=6(1.14)x, y=6(0.86)x

Back

y=6(1.14)x

2.

FLASHCARD QUESTION

Front

What type of function is y = 7(5/4)x? Options: Exponential Growth, Exponential Decay, Linear, None of the above

Back

Exponential Growth

3.

FLASHCARD QUESTION

Front

Classify the model: A=1200(.85)6
Options: Growth, Decay

Back

Decay

4.

FLASHCARD QUESTION

Front

What is a, the initial amount, for the function: f(x) = 300(1.16)x?

Back

300

5.

FLASHCARD QUESTION

Front

A 78 gram sample of Uranium loses half of its mass each year. What is the exponential equation? Options: y=78(0.5)x, y=78(1.5)x, y=78(2)x

Back

y=78(0.5)x

6.

FLASHCARD QUESTION

Front

Equation for bacteria culture starting with 5000 cells, dying by 30% each year.

Back

y=5000(0.7)x

7.

FLASHCARD QUESTION

Front

Is this exponential growth or decay?

Back

Growth

8.

FLASHCARD QUESTION

Front

What does the a in y=a(1+r) represent?

Back

Initial Amount

9.

FLASHCARD QUESTION

Front

Function with initial amount of $15 and an increase of 35% each year: y = 15(35)x, y = 15(1.35)x, y = 15(0.35)x, y = 35(1.15)x

Back

y = 15(1.35)x

10.

FLASHCARD QUESTION

Front

What type of function is f(x)=2(1/7)x? Options: Exponential Growth, Linear, Exponential Decay, None of the Above

Back

Exponential Decay

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