Question

a camp director reviews the supply of string used for bracelet making. the graph shows the relationship between the number of yards of string used and the number of bracelets made. what do the two points on the graph mean in terms of the situation? the point (6, 9) can be represented by the ratio choose... yard(s) of string made choose... bracelet(s). and means the point (4, 6) can be represented by the ratio choose... yard(s) of string made choose... bracelet(s). and means choose one option from each drop - down menu to answer the question.

Explanation:

Step1: Understand coordinate - point meaning

In a coordinate - point (x, y), x represents the number of bracelets and y represents the number of yards of string.

Step2: Analyze the point (6, 9)

For the point (6, 9), the x - value is 6 (number of bracelets) and the y - value is 9 (number of yards of string). The ratio is $\frac{y}{x}=\frac{9}{6}=\frac{3}{2}$. It means 9 yards of string are used to make 6 bracelets.

Step3: Analyze the point (4, 6)

For the point (4, 6), the x - value is 4 (number of bracelets) and the y - value is 6 (number of yards of string). The ratio is $\frac{y}{x}=\frac{6}{4}=\frac{3}{2}$. It means 6 yards of string are used to make 4 bracelets.

Step4: Interpret the two - point relationship

The two points (6, 9) and (4, 6) have the same ratio $\frac{3}{2}$, which means that for every 2 bracelets made, 3 yards of string are used.

Answer:

The point (6, 9) can be represented by the ratio 9 yards of string made 6 bracelets and means for every 6 bracelets, 9 yards of string are used. The point (4, 6) can be represented by the ratio 6 yards of string made 4 bracelets and means for every 4 bracelets, 6 yards of string are used. The two points show that the ratio of yards of string to the number of bracelets is constant ($\frac{3}{2}$), meaning for every 2 bracelets made, 3 yards of string are used.