Answer:
Table A
Explanation:
The ratio of x to y is 3 to 8.
To determine which table represents the ratio, convert the first pair of points in each of the options to their simplest form.
Option A
When x=15, y=40
[tex]\frac{x}{y}=\frac{15}{40}=\frac{3\times5}{8\times5}=\frac{3}{8}[/tex]
Option B
When x=8, y=32
[tex]\frac{x}{y}=\frac{8}{32}=\frac{8}{4\times8}=\frac{1}{4}[/tex]
Option C
When x=9, y=24
[tex]\frac{x}{y}=\frac{9}{24}=\frac{3\times3}{3\times8}=\frac{3}{8}[/tex]
However, when x=15, and y=35
[tex]\frac{x}{y}=\frac{15}{35}=\frac{3\times5}{7\times5}=\frac{3}{7}[/tex]
Therefore, the ratio in Option C is not constant.
Option D
When x=16, y=6
[tex]\frac{x}{y}=\frac{16}{6}=\frac{2\times8}{2\times3}=\frac{8}{3}[/tex]
Therefore, the table that represents the given ratio is Option A.
Note:
• After using the first column in Table C, we find 3/8. But we already had 3/8 in Table A.
,
• Since there is to be just one answer, we tested using another column in Table C.
,
• If you test using another column in Table A, you will still get 3/8.
