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Pepsi [2]
3 years ago
11

Every Halloween, trick-or-treaters love going to Erica's house to see her spooky decorations and get some of her delicious caram

el chews.
There is a proportional relationship between the number of kids in a group, x, and the total number of caramel chews Erica gives to that group, y.
x (kids) y (caramel chews)
2 6
4 12
5 15
6 18
Write an equation for the relationship between x and y.
y=
Mathematics
1 answer:
ra1l [238]3 years ago
4 0

Answer:

y=3x

Step-by-step explanation:

Let

x ----> the number of kids in a group

y ----> the total number of caramel chews Erica gives to that group

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

Find the value of the constant of proportionality k

take a ordered pair from the data in the table and determine the value of k

For x=2, y=6 ----> k=\frac{y}{x} ----> k=\frac{6}{2}=3\ caramels/kid

therefore

y=3x

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Answer:

n + 4 {n \choose 2} + 6 {n \choose 3} + 4 {n \choose 4} + {n \choose 5}

Step-by-step explanation:

Lets divide it in cases, then sum everything

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Case (2): 4 numbers are different

We start this case similarly to the previous one, we count how many subsets of 4 elements we can form from a set of n elements. The answer is the combinatorial number of n with 4 {n \choose 4} .

We still have to localize the other element, that forcibly, is one of the four chosen. Therefore, the total amount of possibilities for this case is multiplied by those 4 options.

The total cardinality of this case is 4 * {n \choose 4} .

Case (3): 3 numbers are different

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The total amount of possibilities for this case is

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Conclussion

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I hope that works for you!

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