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
