Friday, October 13, 2017

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?