The table that correctly relates the number of cups to the number of tablespoons is the first table.
How to interpret integral multiplication?
Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b
Then, their multiplication can be interpreted as:
[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]
For example,
[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]
It is specified that:
In 1 cup, there are 16 tablespoons
In 2 cups, there would be 16+16 tablespoons,
and so on,
in 'n' cups, there would be 16+16+...+16 (n times ) = 16 × n tablespoons.
Checking all the tables one by one:
Second table is incorrect because it says that 16 cups = 1 tablespoon which is wrong.
The third table is saying in 32 cups there are only 16 tablespoons, which is obviously wrong as number of tablespoon is always going to be bigger than the number of cups.
The first table is correct since:
Number of cups(n) Number of tablespoons ( 16 × n)
1 16 × 1 =16
2 16 × 2 = 32
4 16 × 3 = 64
8 16 × 4 = 128
So it follows the formula we obtained for the number of tablespoons for given number of cups.
Learn more about multiplication here:
https://brainly.com/question/26816519
