Quiz about 4B Exponential Function Wrap-Up

Question 1

Solve the equation:

$$5^{\left(2-3x\right)}=25$$

Accepted Answer

$$0$$

Answer

$$\frac{7}{5}$$

Answer

$$-\frac{3}{4}$$

Answer

$$-\frac{7}{6}$$

Question 2

Solve the equation:

$$4^{2x\ }=\ 7$$

Accepted Answer

.702

Answer

0

Answer

1.311

Answer

.364

Question 3

Solve:

log₆(2x + 3) = 3

Accepted Answer

x = 106.5

Answer

x = 100

Answer

x = 16

Answer

x = 50

Question 4

Solve.

9(e^x)- 31 =23

Accepted Answer

x = 1.79

Answer

x = 4.21

Answer

x = -3.5

Answer

x = 1.27

Question 5

Solve.

2(16^x+6) - 8 = 35

Accepted Answer

-4.89

Answer

-4.67

Answer

-2.93

Answer

-2.95

Question 6

The common logarithm has what base?

Accepted Answer

10

Answer

0

Answer

e

Answer

-e

Question 7

Log with a base "e" (log_e) is the same thing as...

Accepted Answer

Natural Logarithm (LN)

Answer

"e"

Answer

Common Logarithm (Log)

Answer

Natural Log, base "e"
LN_e

Question 8

4^{3x + 5} = 16

Accepted Answer

-1

Answer

-5/3

Answer

-3/2

Answer

2/3

Question 9

Solve for y:

$$20=5e^y$$

Accepted Answer

y = 1.4

Answer

y = 0.7

Answer

y = 2.1

Answer

y = 0

Question 10

Solve for x:

$$3^x=\frac{1}{9}$$

Accepted Answer

-2

Answer

2

Answer

Undefined

Answer

1/2

Question 11

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. Write the equation that best models this situation.

Accepted Answer

y = 128(0.5)^x

Answer

y = -64x + 128

Answer

y = 0.5x + 128

Answer

y = 128(2)^x

Question 12

Given the following table of values, construct the function that represents the sequence.

Accepted Answer

y = 3(4)x

Answer

y = 3x + 4

Answer

y = 4(3)x

Answer

y = 4x + 3

Question 13

Which equation describes the story below?
You have $5 and triple your money every day.

Accepted Answer

y=5(3)x

Answer

y=5x

Answer

y=5(3x)

Answer

y=15x

Question 14

Write an exponential function to model the situation. Solve.
2) The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year. What will the cost be after 4 years?

Accepted Answer

C(t) = 12000(1.06)^t ; $15149.72

Answer

C(t) = 12000(1.06)^t ; $3149.72

Answer

C(t) = 12000(.06)^t ; $3149.72

Answer

C(t) = 12000(.06)^t ; $1472.95

Question 15

A particular type of cell triples in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 6 of these cells?

Accepted Answer

f(h) = 6(3)^h

Answer

f(h) = 3(6)^h

Answer

f(h) = 6x^h

Answer

f(h) = 3(6h)

Question 16

The amount of cola in a soda machine decreases by a rate of 5% each hour. The amount of cola in the machine was originally 75 gallons.

Which function models the amount of cola in gallons after h hours?

Accepted Answer

f(h) = 75(.95)^h

Answer

f(h) = 75(-5)^h

Answer

f(h) = -5(75)^h

Answer

f(h) = .95(75)^h

Question 17

Write the equation of the exponential function for the given table.

Accepted Answer

y = 1(1/4)^x

Answer

y = 1(4)x

Answer

y = 4(4)x

Answer

y = 1/4(1)^x

Question 18

Write the equation of the exponential function for the given graph.

Accepted Answer

y = 1(4)x

Answer

y = 4(1)x

Answer

y = 1(1/4)^x

Answer

y = 1/4(1)^x

Question 19

Write the equation of the exponential function for the given graph.

Accepted Answer

y = 2x

Answer

y = 2(2)x

Answer

y = 2(1)x

Answer

y = 1(1/2)^x

Question 20

What is the common ratio for the sequence:
28, 14, 7, 3.5...

Accepted Answer

1/2

Answer

2

Answer

-14

Answer

-7

Question 21

What is the common ratio for the sequence:
3, 15, 75...

Accepted Answer

5

Answer

12

Answer

1/5

Question 22

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

Accepted Answer

300

Answer

1.16

Answer

.16

Answer

x

Question 23

Is the function Exponential Growth or Decay?

Accepted Answer

Growth

Answer

Decay

Answer

Neither

Question 24

Is the function Exponential Growth or Decay?

Accepted Answer

Decay

Answer

Growth

Answer

Neither

Question 25

Identify the y-intercept and the decay factor in the function f(x) = -2 (1/3)^x .

Accepted Answer

a = -2 ; b = 1/3

Answer

a = 1/3 ; b = -2

Answer

a = x ; b = -2

Answer

a = -2 ; b = x

Question 26

y-intercept?

Accepted Answer

(0, 5)

Answer

(5, 0)

Answer

(1.2, 0)

Answer

(0, 1.2)

Question 27

What is the nickname for the bell of the clock at the Palace of Westminster in London?

Accepted Answer

Big Ben

Answer

The London Eye

Answer

London Bridge

Answer

Eiffel Tower

Question 28

What movie is Princess Fiona from?

Accepted Answer

Shrek

Answer

How to Train your Dragon

Answer

Brave

Answer

Star Wars

Question 29

How many Great Lakes are there?

Accepted Answer

5

Answer

3

Answer

7

Answer

9

Question 30

What is the hardest natural substance on earth?

Accepted Answer

diamond

Answer

marble

Answer

gold

Answer

granite

Question 31

What is the largest continent?

Accepted Answer

Asia

Answer

Africa

Answer

Antartica

Answer

South America

Question 32

How many days are in a Leap Year?

Accepted Answer

366

Answer

356

Answer

357

Answer

365

Question 33

What Roman Numerals make up the number 2020?

Accepted Answer

MMXX

Answer

XX

Answer

MM

Answer

MVXX

Question 34

Who was the first American women in space?

Accepted Answer

Sally Ride

Answer

Amelia Earhart

Answer

Rosa Parks

Answer

Marilyn Monroe

Question 35

In Monopoly, how much money do you collect when you pass "GO"?

Accepted Answer

$200

Answer

$100

Answer

$250

Answer

$500

Question 36

What does a Scoville Unit measure?

Accepted Answer

Spiciness

Answer

Heat

Answer

Taste

Answer

Acidity

Question 37

What does "NASA" stand for?

Accepted Answer

National Aeronautics and Space Administration

Answer

National Astronauts Society of America

Answer

National Aeronautics and Space Association

Answer

No Active Space Animals

Question 38

What two colours make purple?

Accepted Answer

Red and Blue

Answer

Green and Yellow

Answer

Pink and Brown

Answer

Blue and White

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