2. Which example below represents expönential decay?
A. The balance ön yöur city bus pass if yöu ridë the bus twice a day every day.
B. The number öf views a pöpular (Tik Tök) gets över time
C. The number öf teams cömpeting as a tournament prögresses
D. The gröwth of an inväsive species öf plants.
<u>B. The number of views a p</u><u>ö</u><u>pular</u><u> </u><u>(Tik T</u><u>ö</u><u>k)</u><u> gets </u><u>ö</u><u>ver time</u>.
4. How can you determine if a table is a linear function or an exponential function?
<u>Exponential </u>and<u> linear</u> refer to the type of a function by looking at the power of the independent variable.A linear function is one where the independent variable is to the power of 1.
<u>For example</u>, in the linear equation y = mx+b, x is the aforementioned independent variable. The term linear comes from the plot of the function; regardless of the values of m and b, the graphed function will always be a line.
An <u>exponential function</u> is one where the independent variable is to a non-trivial (not 0th or 1st) power. These are typically of the form y=a⋅bx. The term exponential comes from the use of exponentiation in the independent variable.
An <u>exponential</u> graph is curved upwards, while a linear graph is a straight line. One of the most important distinctions between linear and exponential functions is how (and how quickly) they increase or decrease.
<u>Linear functions</u> increase proportionally; an increase in x has a corresponding additive increase in y.
<u>Exponential functions</u>, however, increase exponentially; that is, an increase in x has a corresponding multiplicative increase in y.
The graph that i attached shows a linear function <u>(red)</u> and an exponential function <u>(blue)</u>.