Question

Write the sentence as a proportion. Then determine whether the proportion is a true proportion. Sixteen hundredths is to four as twenty-four hundredths is to eight.

The proportion is:
A) 0.16 = 4
B) 0.16 = 0.24
C) 0.24 = 8
D) 0.16 = 8
Is the proportion a true proportion?
A) No
B) Yes

Answer 1

The sentence is written as a proportion 0.16/4 = 0.24/8. After cross-multiplying, we find that the proportions are not equal, therefore it is not a true proportion.

Step-by-step explanation:

To write the given sentence as a proportion, we need to express both comparisons as fractions and set them equal to each other. "Sixteen hundredths is to four" can be represented as 0.16/4 and "twenty-four hundredths is to eight" as 0.24/8. Setting these two ratios equal, we have the proportion 0.16/4 = 0.24/8.

To determine if this is a true proportion, we cross-multiply and see if both sides have the same product. On the left side we would have 0.16 * 8, and on the right side we would have 0.24 * 4. Doing the calculations: 0.16 * 8 = 1.28 and 0.24 * 4 = 0.96. Since these products are not equal, the proportion is not true.