Question

week 2: proportions and applications using proportions
due nov 9 by 11:59pm points 10 submitting an external tool
question
determine whether the equation is a proportion: \frac{3.5}{13.5}=\frac{14}{54}.
select the correct answer below:
yes, the equation is a proportion.
no, the equation is not a proportion.

Explanation:

Step1: Cross - multiply

For a proportion \(\frac{a}{b}=\frac{c}{d}\), cross - multiply to get \(a\times d=b\times c\).
Here, \(a = 3.5\), \(b=13.5\), \(c = 14\), \(d = 54\).
Cross - multiply: \(3.5\times54\) and \(13.5\times14\).

Step2: Calculate \(3.5\times54\)

\(3.5\times54=(3 + 0.5)\times54=3\times54+0.5\times54=162 + 27=189\).

Step3: Calculate \(13.5\times14\)

\(13.5\times14=(13+0.5)\times14=13\times14 + 0.5\times14=182+7=189\).

Since \(3.5\times54=13.5\times14 = 189\), the two ratios are equal.

Answer:

Yes, the equation is a proportion.