Question

A type of dragon fly is the fastest insect. a. Write an equation to find how far the dragonfly can travelb. Use the equation to determine how far the dragon fly can travel in one minute

Answer 1

A type of dragonfly is the fastest insect.

a. Write an equation to find how far the dragonfly can travel

d = Distance Traveled (

s = Time in second

For calculating the expression, we are gonna use this two

points

A = (1, 23)

B = (5, 115)

First, we are going to calculate the slope

`\begin{gathered} m=(115-23)/(5-1) \\ m=(92)/(4) \\ \\ m=23 \end{gathered}`

Now, we are going to calculate the intercept

`\begin{gathered} b=y-mx \\ b=23-23\cdot1 \\ b=0 \end{gathered}`

The equation would be

`y=23x`

Using our nomenclature

`d=23\cdot s`

b. Use the equation to determine how far the dragonfly can travel in one minute

one minute = 60 seconds

`\begin{gathered} d=23\cdot60s \\ d=1380 \end{gathered}`