The expression which is equivalent to (r + 0.44r) is 1.44r. This means that the amount of rain in April was greater than the amount of rain in March by 44 percent.
Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
In march, a town received r inches of rain. In April, the town received (r + 0.44r) inches of rain. Thus, the total amount of rain in April month is,
[tex]r+0.44r=(1+0.44)r\\r+0.44r=1.44r[/tex]
Now the rain in March is r inches and rain in April is 1.44r inches. Let, the amount of rain in April was greater than the amount of rain in March by x percent. Thus,
[tex]x=\dfrac{1.44r-r}{r}\times100\\x=\dfrac{(1.44-1)r}{r}\times100\\x=\dfrac{0.44r}{r}\times100\\c=44\%[/tex]
Thus, the expression equivalent to (r + 0.44r) is 1.44r. This means that the amount of rain in April was greater than the amount of rain in March by 44 percent.
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