Question

A certain insect can beat its wings 170 times per second. Write an equation in slope-intercept form that shows the relationship between flying time in seconds and the number of times the insect beats its wings.

Answer 1

The equation is
`y=170x`

Explanation:

Given : A certain insect can beat its wings 170 times per second.

To find : Write an equation in slope-intercept form that shows the relationship between flying time in seconds and the number of times the insect beats its wings ?

Solution :

The general slope-intercept form is
`y = mx + b`

where, m is the slope and b is the y-intercept.

Let the amount of times the dragonfly has beat its wings be 'y'

Let the time will be 'x'.

A certain insect can beat its wings 170 times per second.

i.e. the slope is m=170 and y-intercept is b=0

Substitute the value in the general form,

`y=(170)x+0`

`y=170x`

Therefore, the required equation is
`y=170x`