Which expression is equivalent to (8x − 4) + (5 − 4x)?
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Using the principle of proportional relationship, the amount of weight lost by hedgedog in 120 days is 3.6 oz
<u>Proportional</u><u> </u><u>relationships</u><u> </u><u>are</u><u> </u><u>defined</u><u> </u><u>thus</u><u> </u><u>:</u>
- y = kx
- <em>k</em><em> </em><em>=</em><em> </em><em>constant</em><em> </em><em>of proportionality</em><em> </em>
Taking a piar of points :
-0.24 = 8k
<em>Divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>8</em>
(-0.24/8) = k
k = - 0.03
Hence, hedgedog loses weight at a rate of - 0.03 oz per day.
<u>The</u><u> </u><u>amount</u><u> </u><u>of</u><u> </u><u>weight</u><u> </u><u>lost</u><u> </u><u>in</u><u> </u><u>120</u><u> </u><u>days</u><u> </u><u>:</u>
The proportional relationship = y = - 0.03x
<em>Substitute</em><em> </em><em>x</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>equation</em><em> </em>
y = -0.03(120)
y = - 3.6 oz
Therefore, the amount of weight lost in 120 days is 3.6 oz.
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