Answer :
Final answer:
To determine how many tablespoons of kernels are needed to make one cup of popcorn, a conversion factor is used. By setting up a proportion, we find that 2/3 tablespoon of kernels are required for one cup of popcorn. The correct option is C .
Explanation:
To answer the question, we need to set up a proportional relationship, or a conversion factor, to find out how many tablespoons of kernels are needed to make one cup of popcorn. Given that 1 1/2 tablespoons of kernels make 2 1/4 cups of popcorn, we can use this information to create a ratio.
First, let's express the cups of popcorn in terms of a ratio to the tablespoons of kernel1 1/2 tbsp kernels : 2 1/4 cups popcorn = x tbsp kernels : 1 cup popcorn
To simplify the calculations, we convert the mixed numbers into improper fractions. So, 1 1/2 tablespoons becomes 3/2 tablespoons and 2 1/4 cups of popcorn becomes 9/4 cups of popcorn.
Now the ratio looks like this:
3/2 tbsp kernels : 9/4 cups popcorn = x tbsp kernels : 1 cup popcorn
Since we are looking for 'x', which represents the number of tablespoons for one cup, we can cross-multiply to solve for 'x'.
So, (3/2) * 1 = (9/4) * x
This reduces to:
3/2 = 9x/4
Now we solve for 'x' by multiplying both sides by 4/9:
x = (3/2) * (4/9)
x = 12/18
By simplifying the fraction, we get x = 2/3, which means that to make 1 cup of popcorn we need 2/3 tablespoon of kernels. Therefore, the answer is c) 2/3 tablespoon of kernels to make one cup of popcorn.
