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Last month, a 770 g box of cereal was sold at a grocery store for $3.10. However, this month, the cereal manufacturer launched the same cereal in a 640 g box, which is being sold at $2.50. What is the percent change in the unit price?

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tramserran

Answer:   2.95% decrease

Step-by-step explanation:

First, find the unit price of the original cereal and the new cereal.  Then use those values to find the percent change.

[tex]\text{Original:}\ \dfrac{\$3.10}{770\ g}=\dfrac{\$0.004025}{g}\\\\\\\text{New:}\ \dfrac{\$2.50}{640\ g}=\dfrac{\$0.003906}{g}\\\\\\\text{\% Change}=\dfrac{New-Original}{Original}\\\\\\.\qquad \qquad =\dfrac{\$0.003906-\$0.004025}{\$0.004025}\\\\\\.\qquad \qquad =-0.0295\\\\.\qquad \qquad =2.95\%\ \text{decrease}[/tex]

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