Question

The table below shows the amounts of cooked rice that can be made using different amounts of dry rice. Based on the information in the table, how many cups of cooked rice can be made from 1 cup of dry rice?​

Answer 1

1 cup dry rice makes 4 cups of cooked rice.

Explanation:

Comment

Assuming this is a linear relationship, the equation is

cooked rice = k * dry rice

cooked rice = k

dry rice = x

Now all you need do is find k to get the answer.

Givens

x value = 2/3 of a cup.

y value = 2 2/3 cups

k = ?

Solution

y = k*x

2 2/3 = k * 2/3 Change to an improper fraction

8 / 3 = k * 2/3 Multiply both sides by 3

8 = 2k Divide both sides by 2

8/2 = 2k/2

k = 4

Now for one cup of dry rice, we have

y = ?

k = 4

x = 1

y = k*x

y = 4*1

y = 4 cups

The answer should be that the relationship is linear, because it lies between 3 cups (when 3/4 cup of dry rice is used and over 5 cups when 1 abd 1/3 cuprs of dry rice are used,)