Question

A certain insect can beat its wings 200 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 relationship between flying time in seconds and the number of wing beats for the insect, beating its wings 200 times per second, is represented by the slope-intercept equation y = 200x.

Step-by-step explanation:

The question asks us to write an equation in slope-intercept form (y = mx + b) that shows the relationship between flying time in seconds (x) and the number of wing beats (y) of a certain insect. Given that the insect can beat its wings 200 times per second, we can express this relationship directly where the number of wing beats is 200 times the number of seconds. So, the slope (m) is 200, representing the number of wing beats per second, and the y-intercept (b) is 0 because at time zero, the wing beats are also zero. The equation in slope-intercept form would be:

y = 200x

This equation indicates that for every second of flying time (x), the number of times the insect beats its wings is increased by 200.

Answer 2

200X = Y

Step-by-step explanation:

Since the insect in question can flap its wings 200 times per second, the equation that represents how many times it flaps its wings according to the time of flight is the following:

200X = Y

Thus, 200 is the number of times per second it flaps its wings, while X is the number of seconds in question. In turn, Y is the number of times it flaps its wings in the given time.

For example, if the insect were to fly for 5 seconds, the equation would work as follows:

200 x 5 = Y

1000 = Y