To make 5 gallons of cleaning solution, 3 cups of bleach is mixed in with water. Which table shows the relationship between the gallons of cleaning solution made and the cups of bleach used?

Option B.

Step-by-step explanation:

Let 'g' represent the number of gallons of cleaning solutions.

Let 'c' represent the number of cups of bleach.

From the question given above, we were told that:

To make 5 gallons of cleaning solution, 3 cups of bleach is mixed in with water.

This implies that number of gallons (g) of the cleaning solution is directly proportional to the number of cups (c) of the bleach mixed with water i.e

g ∝ c

g = Kc

K is the constant of proportionality.

Next, we shall determine the relationship between g and c as follow

g = 5

c = 3

K =?

g = Kc

5 = K × 3

Divide both side by 3

K = 5/3

g = Kc

K = 5/3

g = 5/3 c

Thus, the relationship between g and c is:

g = 5c / 3

Next, we shall make c the subject of the formula. This is illustrated below:

g = 5c / 3

Cross multiply

3g = 5c

Divide both side by c

c = 3g/5

Next, we shall determine c when g = 10, 15, and 20.

This is illustrated below:

g = 10

c =?

c = 3g/5

c = (3 × 10)/5 = 30/5 = 6

g = 15

c =?

c = 3g/5

c = (3 × 15)/5 = 45/5 = 9

g = 20

c =?

c = 3g/5

c = (3 × 20)/5 = 60/5 = 12

Summary:

Num. of gallon (g) >> Num. of cup (c)

5 >>>>>>>>>>>>>>>> 3

10 >>>>>>>>>>>>>>> 6

15 >>>>>>>>>>>>>>> 9

20 >>>>>>>>>>>>>>> 12

Therefore, option B gives the correct table.

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! )

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step-by-step explanation: