Question

1. 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.

number of teaspoons	number of tablespoons	number of cups
36	12	0.8
144	48	3

a. complete the missing values in the table.
b. write an equation that represents the number of teaspoons, t, contained in a cup, c.

1. the volume of dry goods, like apples or peaches, can be measured usings bushels, pecks, and quarts. a bushel contains 4 pecks, and a peck contains 8 quarts.

what is the relationship between number of bushels, b, and the number of quarts, q? if you get stuck, try creating a table.

Explanation:

Step1: Find conversion factors

1 tablespoon = 3 teaspoons, 1 cup = 16 tablespoons.

Step2: Complete first - row of table

Given 2 cups. Number of tablespoons: $2\times16 = 32$. Number of teaspoons: $32\times3=96$.

Step3: Complete second - row of table

Given 36 teaspoons. Number of tablespoons: $\frac{36}{3}=12$. Number of cups: $\frac{12}{16}=0.75$.

Step4: Complete third - row of table

Given 48 tablespoons. Number of teaspoons: $48\times3 = 144$. Number of cups: $\frac{48}{16}=3$.

Step5: Find equation for teaspoons in a cup

Since 1 cup = 16 tablespoons and 1 tablespoon = 3 teaspoons, then $t = 3\times16C$, so $t = 48C$.

Answer:

a.

number of teaspoons	number of tablespoons	number of cups
36	12	0.75
144	48	3

b. $t = 48C$