The breakdown of a sample of a chemical compound is represented by the function p(t) = 300(0.5) t , where p(t) represents the number of milligrams of the substance and t represents the time, in years. In the function p(t), explain what 0.5 and 300 represent.

300 is the initial amount and 0.5 is the decay factor

300 is the initial amount and 0.5 is the growth factor

0.5 is the initial amount and 300 is the growth factor

0.5 is the initial amount and 300 is the decay factor

Some banks charge a fee on savings accounts that are left inactive for an extended period of time. The equation y = 5000(0.98) x represents the value, y, of one account that was left inactive for a period of x years. What is the y-intercept of this equation and what does it represent?

5000, the amount of money in the account initially

0.98, the percent of money in the account initially

0.98, the percent of money in the account after x years

5000, the amount of money in the account after x years

The Johnson Company calculates the value of its stock each year using the function j(x) = 120(.98) x . Which statement is true about j(x)?

The value of the Johnson Company's stock is decreasing.

j(x) representst a growth function.

The Johnson Company's stock is growing at 2%.

The stock initially started at $98.

What is the nth term of the sequence -1, 3, 7, 11.........?

2) a n = − 1 + 4 ( n − 1 ) a_{n\ }=\ -1+4\left(n-1\right) a n = − 1 + 4 ( n − 1 )

1) a n = − 1 − 4 ( n − 1 ) a_n\ =\ -1\ -\ 4\left(n\ -\ 1\right) a n = − 1 − 4 ( n − 1 )

3) a n = 4 − ( n − 1 ) a_{n\ }=\ 4\ -\left(n-1\right) a n = 4 − ( n − 1 )

4) a n = 4 + ( n − 1 ) a_n=4+\left(n-1\right) a n = 4 + ( n − 1 )

What is the formula for the nth term of the sequence 54, 18, 6, ....... ?

a n = 54 ( 1 3 ) n − 1 a_n=54\left(\frac{1}{3}\right)^{n-1} a n = 5 4 ( 3 1 ) n − 1

a n = 6 ( 1 3 ) n a_n=6\left(\frac{1}{3}\right)^n a n = 6 ( 3 1 ) n

a n = 6 ( 1 3 ) n − 1 a_n=6\left(\frac{1}{3}\right)^{n-1} a n = 6 ( 3 1 ) n − 1

a n = 54 ( 1 3 ) n a_n=54\left(\frac{1}{3}\right)^n a n = 5 4 ( 3 1 ) n

3/6 Test Review

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3/6 Test Review

Quiz

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Mathematics

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9th Grade

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Practice Problem

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Medium

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CCSS

HSF.BF.A.2, HSF.LE.B.5, HSF-IF.C.8B

Standards-aligned

ERICA SIMONE

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26 questions

Show all answers

MATH RESPONSE QUESTION

30 sec • 1 pt

Mathematical Equivalence

Tags

CCSS.HSF.LE.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In an exponential function, what does the 'a' represent?

SLOPE

RATE OF CHANGE

INITIAL AMOUNT

GROWTH OR DECAY FACTOR

Tags

CCSS.HSF.LE.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In an exponential function, what does the 'a' represent?

SLOPE

RATE OF CHANGE

INITIAL AMOUNT

GROWTH OR DECAY FACTOR

Tags

CCSS.HSF.LE.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In an exponential function, what does the 'b' represent?

SLOPE

RATE OF CHANGE

INITIAL AMOUNT

GROWTH OR DECAY FACTOR

Tags

CCSS.HSF-IF.C.8B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

300

1.16

.16

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of function is f(x)=2(¹/₇)^x ?

Exponential Growth

Linear

Exponential Decay

None of the Abovee

Tags

CCSS.HSF-IF.C.8B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If y = ab^x represents an exponential decay function, what are the possible values of b?

b = 1

b > 1

b < 0

0 < b < 1

Tags

CCSS.HSF-IF.C.8B

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3/6 Test Review

26 questions

In an exponential function, what does the 'a' represent?

In an exponential function, what does the 'a' represent?

In an exponential function, what does the 'b' represent?

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

What type of function is f(x)=2(¹/₇)^x ?

If y = ab^x represents an exponential decay function, what are the possible values of b?

Is the Graph Linear, Exponential Growth, or Exponential Decay, Neither:

Is the Graph Linear, Exponential Growth, or Exponential Decay, Neither:

Given f(x) = 8(1.05)^x
What is the growth rate as a percent?

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Popular Resources on Wayground

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3/6 Test Review

26 questions

In an exponential function, what does the 'a' represent?

In an exponential function, what does the 'a' represent?

In an exponential function, what does the 'b' represent?

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

What type of function is f(x)=2(1/7)x ?

If y = abx represents an exponential decay function, what are the possible values of b?

Is the Graph Linear, Exponential Growth, or Exponential Decay, Neither:

Is the Graph Linear, Exponential Growth, or Exponential Decay, Neither:

Given f(x) = 8(1.05)xWhat is the growth rate as a percent?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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

What type of function is f(x)=2(¹/₇)^x ?

If y = ab^x represents an exponential decay function, what are the possible values of b?

Given f(x) = 8(1.05)^x
What is the growth rate as a percent?