Using proportions, the number of 1/4 cup servings that she can make is given by:
B. 3 and 5/9.
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For this problem, considering that Susie has 8/9 of a cup, the following rule of three is established:
1 serving - 1/4 cups
x servings - 8/9 cups
Applying cross multiplication:
[tex]\frac{x}{4} = \frac{8}{9}[/tex]
9x = 32
x = 32/9
Since 32 divided by 9 has quotient 3 with remainder 5, the correct option is given by:
B. 3 and 5/9.
More can be learned about proportions at https://brainly.com/question/24372153
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