Question

Tyler needs to complete this table for his consumer science class. He knows that 1 tablespoon contains 3 teaspoons and that 1 cup contains 16 tablespoons.

What are the values of t, x, y, and c ?​

Answer 1

Explanation:

This table reflects the proportional relationship amongst number of teaspoons, number of tablespoon, number of cups.

In other words these three measures are proportional.

By taking proportionality ratio of 'number of tablespoons' and 'number of cups' first.

`(12)/(48)=(C)/(3)`

C =
`(12* 3)/(48)`

C = 0.75

Similarly,
`(y)/(2)=(12)/(C)`

`(y)/(12)=(2)/(0.75)`

y =
`(24)/(0.75)`

y = 32

Now,
`(t)/(36)=(y)/(12)`

`(t)/(36)=(32)/(12)`

t = 96

By the same rule,

`(36)/(x)= (12)/(48)`

x =
`(48* 36)/(12)`

x = 144

Therefore, complete table will be,

Number of teaspoons Number of tablespoons Number of cups

96 32 2

36 12 0.75

144 48 3