Question

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.

Answer 1

Answer: B,C,D,F

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.

Read more at;