Question

select the table that represents the ratio of blue triangles to white triangles.
a.

blue
2
10
12
16

white
18
45
54
72

b.

blue
4
45
12
16

white
18
10
54
72

c.

blue
4
6
12
15

white
18
45
54
72

d.

blue
4
10
12
16

white
18
45
54
72

Explanation:

Step1: Count blue and white triangles

Count the number of blue and white triangles. There are 2 blue triangles and 9 white triangles. The ratio of blue to white is \(2:9=\frac{2}{9}\).

Step2: Check ratios in each table

• Table A: \(\frac{2}{18}=\frac{1}{9}

eq\frac{2}{9}\)

• Table B: \(\frac{4}{18}=\frac{2}{9}\), \(\frac{45}{10}=\frac{9}{2}

eq\frac{2}{9}\), \(\frac{12}{54}=\frac{2}{9}\), \(\frac{16}{72}=\frac{2}{9}\). But since \(45:10\) is not \(\frac{2}{9}\), this table is incorrect.

• Table C: \(\frac{4}{18}=\frac{2}{9}\), \(\frac{6}{45}=\frac{2}{15}

eq\frac{2}{9}\), \(\frac{12}{54}=\frac{2}{9}\), \(\frac{15}{72}=\frac{5}{24}
eq\frac{2}{9}\). This table is incorrect.

• Table D: \(\frac{4}{18}=\frac{2}{9}\), \(\frac{10}{45}=\frac{2}{9}\), \(\frac{12}{54}=\frac{2}{9}\), \(\frac{16}{72}=\frac{2}{9}\). All ratios simplify to \(\frac{2}{9}\).

Answer:

D.