Question

2. A lemonade recipe calls for cup of lemon juice for every cup of water.

a. Use the table to answer these questions.
i. What does x represent?
ii. What does y represent?
iii. Is there a proportional relationship between x and y?
b. Plot the pairs in the table in a coordinate plane.
X
1
2
3
4
y
4
1
2
3
²14
1

Answer 1

Answer: a. i. In this context, x represents the number of cups of water.

ii. In this context, y represents the number of cups of lemon juice.

iii. Yes, there is a proportional relationship between x and y. The recipe states that for every cup of water, there should be one cup of lemon juice. This means that as the amount of water increases, the amount of lemon juice also increases in the same proportion.

b. To plot the pairs in the table in a coordinate plane, we can use the values of x and y as the coordinates. For example, the first pair (x=1, y=4) would be plotted at the point (1, 4) on the coordinate plane. Similarly, the second pair (x=2, y=1) would be plotted at the point (2, 1), and so on.

Please note that the table provided with X, Y and ²14,1 is incorrect, it is not possible to plot these values in a coordinate plane as the values are not valid.

Explanation: