Question

A certain insect can beat its wings 120 times per second write an equation in slope intercept from that shows the relationship between flying time in seconds in the number of times the insect beats its wings

Answer 1

The relationship between flying time in seconds in the number of times the insect beats its wings:

• y = 120x

Explanation:

The slope-intercept form of the line equation

`y = mx+b`

where

• m is the rate of change or slope

• b is the y-intercept

In our case,

Let 'x' be the flying time in seconds

Ley 'y' be the number of times the insect beats its wings

Given that a certain insect can beat its wings 120 times per second.

It indicates that the rate of change or slope = m = 120

In our case the y-intercept b = 0, as there is no initial condition mentioned here.

Now, substituting m = 120 and b = 0 in the slope-intercept form

y = mx+b

y = 120x+0

y = 120x

Therefore, the relationship between flying time in seconds in the number of times the insect beats its wings:

• y = 120x