To identify the extremes of a given proportion, we need to first understand what "extremes" in a proportion mean. In any proportion of the form:
[tex]\[
\frac{a}{b} = \frac{c}{d}
\][/tex]
the first term [tex]\(a\)[/tex] and the last term [tex]\(d\)[/tex] are referred to as the extremes, while the second term [tex]\(b\)[/tex] and the third term [tex]\(c\)[/tex] are called the means.
Given the proportion:
[tex]\[
\frac{4}{7} = \frac{20}{35}
\][/tex]
we identify the following terms:
- The first term [tex]\(a\)[/tex] is 4.
- The second term [tex]\(b\)[/tex] is 7.
- The third term [tex]\(c\)[/tex] is 20.
- The last term [tex]\(d\)[/tex] is 35.
According to the definition, the extremes of this proportion are the first and last terms, which are 4 and 35 respectively.
Therefore, the correct answer is:
C. 4 and 35
