follow the questions

Homework 5 1. Tong and Phillip are working as counselors in a day camp for kids. One of

their tasks is to prepare lemonade for snack break. In the camp’s recipe box they find three recipes for making lemonade from concentrate:

Recipe A Recipe B Recipe C 2 cups concentrate 4 cups concentrate 3 cups concentrate 3 cups cold water 8 cups cold water 5 cups cold water a. Which recipe will make juice that is the most lemony tasting?

Explain in detail how you decided. b. Assume that each of the 240 campers gets cup of lemonade.

Calculate how much concentrate and how much water are needed for each of the three recipes. Explain in detail your method of calculation.

2. Extreme Algebraic Exercise:

Stretch your Linear Functions Muscle: In each of the following problems you are given one representation of a linear function: a table, a graph or an equation. For each problem give the other two representations. For part a), also make up a situation that fits the function.

a. y = 3x + 5 b. x y In addition, to a table and a graph, make up a situation.

2 6 4 5 6 4

c. Start with a line that goes through the points (3, 1) and (2, 0).

d. 2x – 4y = 12

e. In addition to writing the equation for the graph at right, use the equation you wrote to find the x- intercept.

x

y