212k views
0 votes
For every 3 books Sienna reads, Ben reads 2. The table shows the ratio 3:2

and two equivalent ratios.
Sienna's books read Ben's books read
3
2
6
9
4
6
Which graph shows the correct way to plot ratios of Sienna's books to Ben's
books as ordered pairs?

User JMon
by
7.3k points

1 Answer

7 votes

Answer:

To plot the ratios of Sienna's books to Ben's books as ordered pairs, we can use a coordinate plane. The x-coordinate represents the number of Sienna's books, and the y-coordinate represents the number of Ben's books.

Given the ratios 3:2, we can create equivalent ratios by multiplying both the numerator and denominator by the same factor. Let's create the equivalent ratios based on the given values:

Sienna's books read (x-coordinate) Ben's books read (y-coordinate)

3 2

6 4

9 6

The ordered pairs for the ratios are: (3, 2), (6, 4), (9, 6).

To graph these ordered pairs, we plot the x-coordinate (number of Sienna's books) on the x-axis and the y-coordinate (number of Ben's books) on the y-axis. The graph should show a linear relationship between the two variables.

Since I can't display a graph directly, I will describe the graph verbally:

The correct way to plot the ratios as ordered pairs would show the points (3, 2), (6, 4), and (9, 6) on a coordinate plane. The points should lie on a straight line that passes through these three points. The line should start from the origin (0, 0) and extend towards the positive x and y directions.

Visually, the graph will show a line that starts from the origin (0, 0) and passes through the points (3, 2), (6, 4), and (9, 6) in a straight line.

User Arturkin
by
8.2k points