Final answer:
To make 6 cups of popcorn, Serena would need 1/4 tablespoons of kernels.
Step-by-step explanation:
To determine how many tablespoons of kernels Serena would need to make 6 cups of popcorn, we can set up a proportion using the information given.
First, let's convert the quantities of cups and tablespoons in our known scenario to a common unit.
We can convert the 2 1/4 cups of popcorn to tablespoons by multiplying it by the conversion factor of 16 tablespoons per cup. This gives us 36 tablespoons.
We can then set up the proportion:
(1 1/2 tablespoons) / (2 1/4 cups) = (x tablespoons) / (6 cups)
Cross-multiplying, we have:
(1 1/2) * (6) = (x) * (2 1/4 * 16)
9 = 36x
To solve for x, divide both sides of the equation by 36:
x = 9/36
= 1/4
Therefore, Serena would need 1/4 tablespoons of kernels to make 6 cups of popcorn.