Question

the graph shows the relationship between the number of yards of string used and the number of bracelets made. the point (6, 9) can be represented by the ratio choose... yard(s) of string made choose... bracelet(s). the point (4, 6) can be represented by the ratio choose... yard(s) of string made choose... bracelet(s). what do the two points on the graph mean in terms of the situation? 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 $(6,9)$, it means that when 6 bracelets are made, 9 yards of string are used. The ratio is $\frac{\text{yards of string}}{\text{bracelets}}=\frac{9}{6}=\frac{3}{2}$. So, 9 yards of string are made for 6 bracelets.

Step3: Analyze the point $(4,6)$

For the point $(4,6)$, it means that when 4 bracelets are made, 6 yards of string are used. The ratio is $\frac{\text{yards of string}}{\text{bracelets}}=\frac{6}{4}=\frac{3}{2}$. So, 6 yards of string are made for 4 bracelets.

Answer:

The point $(6,9)$ can be represented by the ratio 9 yards of string made for 6 bracelets.
The point $(4,6)$ can be represented by the ratio 6 yards of string made for 4 bracelets.