A blimp travels 255 feet in 1/2minute, 510 feet in 1/6 minute, and 3,060 feet in 1 minute. is there or is there not a proportional relationship between the distance the blimp travels and the time it travels.

We conclude that there is NOT a proportional relationship between the distance the blimp travels and the time it travels.

Step-by-step explanation:

We know if y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where k is called the constant of variation.

In our case we are given:

A blimp travels 255 feet in 1/2 minute

here:

y = 255, and x = 1/2 = 0.5

so substituting y = 255 and x = 0.5 in the equation

k = y/x

k = 255 / 0.5

k = 510

A blimp travels 510 feet in 1/6 minute

here:

y = 510 , and x = 1/6

so substituting y = 510 and x = 1/6 in the equation

k = y/x

k = [510] / [1/6]

k = 3060

A blimp travels 3,060 feet in 1 minute

here

y = 3,060, and x = 1

so substituting y = 3,060 and x = 1 in the equation

k = y/x

k = 3,060 / 1

k = 3060

HERE IS THE VARIATION OF THE CONSTANT OF VARIATION:

A blimp travels 255 feet in 1/2 minute

k = 510

A blimp travels 255 feet in 1/2 minute

k = 3060

A blimp travels 3,060 feet in 1 minute

k = 3060

It is clear that the constant of variation does not remain constant.

Therefore, we conclude that there is NOT a proportional relationship between the distance the blimp travels and the time it travels.

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )