Hong has 16 cups of rice to make two of the recipes for a potluck dinner. If he wants to use all of the rice, which of the following should he make?

A table showing the name of a recipe and the amount of rice needed. Risotto needs one-sixth cup of rice per serving. Pilaf needs one-third cup of rice per serving. Curry needs one-half cup of rice per serving.
A.

36 serving of risotto and 20 serving of curry
B.

12 serving of risotto and 7 serving of curry
C.

18 serving of risotto and 30 serving of pilaf
D.

24 serving of pilaf and 8 serving of curry

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

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step-by-step explanation: