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:

Step-by-step 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.

[tex]\frac{12}{48}=\frac{C}{3}[/tex]

C = [tex]\frac{12\times 3}{48}[/tex]

C = 0.75

Similarly, [tex]\frac{y}{2}=\frac{12}{C}[/tex]

[tex]\frac{y}{12}=\frac{2}{0.75}[/tex]

y = [tex]\frac{24}{0.75}[/tex]

y = 32

Now, [tex]\frac{t}{36}=\frac{y}{12}[/tex]

[tex]\frac{t}{36}=\frac{32}{12}[/tex]

t = 96

By the same rule,

[tex]\frac{36}{x}= \frac{12}{48}[/tex]

x = [tex]\frac{48\times 36}{12}[/tex]

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

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