Option A:
The number of tablespoons is [tex]\frac{1}{16}[/tex] of the number of cups.
Solution:
To find the relationship between tablespoons and cups:
Option A: The number of tablespoons is [tex]\frac{1}{16}[/tex] of the number of cups.
At cup = 64,
[tex]$\frac{1}{16 } \ \text{of} \ 64 = \frac{1}{16}\times 64 = 4[/tex]
At cup = 80,
[tex]$\frac{1}{80} \ \text{of} \ 80 = \frac{1}{16}\times 80 = 5[/tex]
At cup = 96,
[tex]$\frac{1}{16 } \ \text{of} \ 96 = \frac{1}{16}\times 96 = 6[/tex]
At cup = 112,
[tex]$\frac{1}{16 } \ \text{of} \ 112 = \frac{1}{16}\times 112 = 7[/tex]
It satisfies the table.
Hence it is true.
Option B: The number of tablespoons is [tex]\frac{1}{4}[/tex] of the number of cups.
At cup = 64,
[tex]$\frac{1}{4 } \ \text{of} \ 64 = \frac{1}{4}\times 64 = 16[/tex]
But the tablespoon is 4 for 64 cups.
It is not true.
Option C: The number of tablespoons is 4 of the number of cups.
At cup = 64,
4 of 64 = 4 × 64 = 256
But the tablespoon is 4 for 64 cups.
It is not true.
Option D: The number of tablespoons is 16 of the number of cups.
At cup = 64,
16 of 64 = 16 × 64 = 1024
But the tablespoon is 4 for 64 cups.
It is not true.
Therefore Option A is the correct answer.
The number of tablespoons is [tex]\frac{1}{16}[/tex] of the number of cups.
