Which pairs of real-world data offers models of exactly one exponential relationship and one linear relationship?

Criminy crickets, that could make a bunch of moldy sandwiches.

Question 11 of 25

Multiple Choice: Please select the best answer and click "submit."

Which pairs of real-world data offers models of exactly one exponential relationship and one linear relationship?

A.

New monthly debt from compounded interest on the balance of a credit card; Number of new infections every day in aflu outbreak.

B.

Number of new mold spores every twelve hours on a left-over sandwich; Age of a child every year on June 1st.

C.

Percentage of mass lost by radioactive decay per unit time; Annual income from a bank savings account earning compound interest

D.

Distance traveled on the highway every hour at a given speed; The size of your bill for every additional ticket you buy at the movie theater.

Exponential relationships are relationships where one of the variables is an exponent. So instead of it being '2 multiplied by x', an exponential relationship might have '2 raised to the power x': Usually the first thing people do to get a grasp on what exponential relationships are like is draw a graph. The number of new mold spores every twelve hours on a leftover sandwich is an exponential relationship.

Linear relationships can be expressed in a graphical format where the variable and the constant are connected via a straight line or in a mathematical format where the independent variable is multiplied by the slope coefficient, added by a constant, which determines the dependent variable. The age of a child every year on June 1st is a linear relationship.

Seriously, do I have to beg?

Evaluate this exponential expression. 7 • (6 + 2)2 - 32 =

Question 12 of 25

Multiple Choice: Please select the best answer and click "submit."

Evaluate this exponential expression.

7 • (6 + 2)² - 3² =

A.

61

B.

103

C.

37

D.

439

Who loves you?

What Does the Graph of F(x) = 6 (0.4)^x Look Like?

What does the graph of F(x) = 6  (0.4)^x look like?

Head on over to MathPapa.com and plug in your formula. The calculator will graph it for you and you can see what it looks like. 

Just look at this sexy thing.

Graphing equations the easy way...there's nothing wrong with using the resources available to you to figure out your math problems. You just have to know where the good ones are and how to use them.

http://www.mathpapa.com/algebra-calculator.html?q=%20F(x)%20%3D%206%20%20(0.4)%5Ex

Who's your Mama?

Which of the following is equal to the expression (6^–8)^4?

A sharply dressed and styled lion-headed figure carries a stick under his arm and smokes a cigar. Around the year 1840, lion and lionne were the names given to fashionable young people, free in their behavior, not averse to some degree of eccentricity, and spending money liberally. The caption reads in the original French: Un lion de Paris. Be a math Lion or Lionne. Devour Apex.

Question 13 of 25

Multiple Choice: Please select the best answer and click "submit."

Which of the following is equal to the expression below?

(6^–8)⁴

A.

–632

B.

C.

–64

D.

First evaluate the expression:

(6−8)4

=(6−8)4

=6(−8)(4)

=6−32

=

1

632

=

1

7.958661109946401e+24

(Decimal: 0)

Then do the others and compare results:

a. −632

=−7.958661109946401e+24

no, it's a negative number

b. 

1

64

=

1

1296

(Decimal: 0.000772)

 nope

c. −64

=−64

=−1*64

=−1*(6*6*6*6)

=−1296

nope, not this one either

d. 

1

632

=

1

7.958661109946401e+24

(Decimal: 0)

Well, hot damn look at this! The answer is d.
Cool. Throw me a bone.

Which of the following is equal to the fraction (4/5)^6?

Question 15 of 25

Multiple Choice: Please select the best answer and click "submit."

Which of the following is equal to the fraction below?

A.

B.

C.

D.

Solve the equation: ( 4 5 )6 =( 4 5 )6 =( 4 5 )*( 4 5 )*( 4 5 )*( 4 5 )*( 4 5 )*( 4 5 ) = 4*4*4*4*4*4 5*5*5*5*5*5 = 46 56 = 4096 15625 (Decimal: 0.262144)

Damn, this math stuff is keeping me up late at night. Sure could use a cup of coffee.