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 { 7.2 } { 11.2 } = \frac { 21 } { 33 } \\).
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 \(\frac{a}{b}=\frac{c}{d}\), we check if \(a\times d = b\times c\). Here, \(a = 7.2\), \(b=11.2\), \(c = 21\), \(d = 33\). So we calculate \(7.2\times33\) and \(11.2\times21\).
\(7.2\times33=(7 + 0.2)\times33=7\times33+0.2\times33=231+6.6 = 237.6\)
\(11.2\times21=(10 + 1.2)\times21=10\times21+1.2\times21=210 + 25.2=235.2\)

Step2: Compare the products

Since \(237.6
eq235.2\) (i.e., \(7.2\times33
eq11.2\times21\))

Answer:

No, the equation is not a proportion.