Question

for the direct variation equation y = 38x, what is the constant of proportionality

Answer 1

a hummingbird flaps its wings 5,000 times a minute when hovering in place. how many times will it flap its wing in 15 seconds?

Answer 2

The constant of proportionality in the direct variation equation y = 38x is 38.

Answer 3

To find how many times the hummingbird will flap its wings in 15 seconds, we need to convert from minutes to seconds.

There are 60 seconds in a minute, so the hummingbird flaps its wings 5,000 times in 60 seconds.

To find the number of wing flaps in 15 seconds, we can set up a proportion:

(5,000 wing flaps) / (60 seconds) = (X wing flaps) / (15 seconds)

Cross-multiplying:

60 * X = 5,000 * 15
60X = 75,000

Dividing both sides by 60:

X = 75,000 / 60
X = 1,250

Therefore, the hummingbird will flap its wings 1,250 times in 15 seconds.