To determine the extremes of a given proportion, you need to identify the first and last terms of the proportion. Let's analyze the given proportion step-by-step:
The given proportion is:
[tex]\[
\frac{3}{4} = \frac{6}{8}
\][/tex]
In a proportion of the form [tex]\(\frac{a}{b} = \frac{c}{d}\)[/tex], the extremes are the terms [tex]\(a\)[/tex] and [tex]\(d\)[/tex].
Looking at our proportion [tex]\(\frac{3}{4} = \frac{6}{8}\)[/tex]:
- The first term (numerator of the first fraction) is [tex]\(3\)[/tex].
- The last term (denominator of the second fraction) is [tex]\(8\)[/tex].
Therefore, the extremes in this proportion are [tex]\(3\)[/tex] and [tex]\(8\)[/tex].
Now let's match these numbers to the multiple-choice options provided:
A. 3 and 8
B. 3 and 6
C. 4 and 8
D. 4 and 6
The correct answer is:
A. 3 and 8.
