Jada is making lemonade for a get-together with her friends. She expects a total of 5 to 8 people to be there (including herself). She plans to prepare 2 cups of lemonade for each person. The lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. Each quart is equivalent to 4 cups. Let represent the number of people at the get-together, the number of cups of water, the number of scoops of lemonade powder. Select all the mathematical statements that represent the quantities and constraints in the situation.

Jada Is Making Lemonade For A Get-together With Her Friends. She Expects A Total Of 5 To 8 People To
Jada Is Making Lemonade For A Get-together With Her Friends. She Expects A Total Of 5 To 8 People To

Answers

Answer 1

Answer: B,C,D,F

Step-by-step explanation:

Answer 2

All the correct mathematical statements that represent the quantities and constraints in the given situation are;

Option B; 5 ≤ n ≤ 8

Option C; c = 2n

Option D; l = c

Option F; 10 ≤ l ≤ 16

We are told that;

n = the number of people

c = the number of cups

l = the number of scoops of lemonade powder.

We are told that number of people is a total of between 5 to 8 people. Thus, the inequality to represent this is; 5 ≤ n ≤ 8

We are told that she wants to prepare 2 cups of lemonade for each person. This means when n = 1, c = 2 ; when n = 2, c = 4. Thus, this can be expressed as; c = 2n

We are told that the lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. That means 4 lemonade powder scoops = 4 cups. This can be expressed as; 4l = 4c. This can be simplified to; l = c

Since she is expecting between 5 to 8 people including herself. 2 lemonade scoops per person means;

        the least amount of lemonade = 5 × 2 = 10

        the maximum lemonade = 8 × 2 = 16

        This can be written in inequality form as;

         10 ≤ l ≤ 16

The only options that correspond with all the inequalities gotten above are; Options B, C, D, F.

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