Question

2. Which example below represents exponential decay?

A. The balance on your city bus pass if you ride the bus twice a day every day.
B. The number of views a popular (Tik Tok) gets over time
C. The number of teams competing as a tournament progresses
D. The growth of an invasive species of plants.

4. How can you determine if a table is a linear function or an exponential function?

Answer 1

`\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }`

`\huge\underline{\sf{\red{Problem:}}}`

• 2. Which example below represents expönential decay?

`\huge\underline{\sf{\red{Choices:}}}`

• 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.

`\huge\underline{\sf{\red{Answer:}}}`

• B. The number of views a pöpular (Tik Tök) gets över time.

`\huge\underline{\sf{\red{Problem:}}}`

• 4. How can you determine if a table is a linear function or an exponential function?

`\huge\underline{\sf{\red{Answer:}}}`

• Exponential and linear 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.

• For example, 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 exponential function 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 exponential 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.

• Linear functions increase proportionally; an increase in x has a corresponding additive increase in y.

• Exponential functions, however, increase exponentially; that is, an increase in x has a corresponding multiplicative increase in y.

`\huge\underline{\sf{\red{Note:}}}`

• The graph that i attached shows a linear function (red) and an exponential function (blue).

`\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }`

#CarryOnLearning

✍︎ C.Rose❀