Answer :
Final answer:
By applying ratio analysis and cross multiplication with fractions, we find out that Serena would need roughly 4 tablespoons of popcorn kernels to make 6 cups of popcorn.
Explanation:
The question relates to the concept of ratios in Mathematics. Serena makes 2 1/4 cups of popcorn from 1 1/2 tablespoons of kernels. This creates a ratio of popcorn to kernels which is 2 1/4 : 1 1/2. To find out how many tablespoons of kernels are needed to make 6 cups, we can apply a cross multiplication method.
First, we must convert the mixed numbers into improper fractions. Thus, 2 1/4 becomes 9/4 and 1 1/2 becomes 3/2. As such, the ratio becomes 9/4 : 3/2. Set up the proportion as (9/4) / (3/2) = 6 / x.
Next, we apply the cross multiplication and we get 9/4 * x = 6 * 3/2, simplifying gives x = 12/3 or 4. So, Serena needs about 4 tablespoons of kernels to make 6 cups of popcorn, therefore option b) is a more reasonable estimate.
Learn more about Ratios and Proportions here:
https://brainly.com/question/32002365
#SPJ4
