At the store, a package of four AA batteries costs $3.92. A package of eight of the same batteriescost $7.60a.) Which package is the better buy? Justify your answer.b.) If you needed to purchase 16 batteries, how much money would you save by purchasing thepackage of batteries that is a better buy? Show your work and explain your answer.
Accepted Solution
A:
Answer:Part a) A package of eight AA batteries is the better buyPart b) [tex]\$0.48[/tex]Step-by-step explanation:Part a) Which package is the better buy? To find the better buy, calculate the unit rateA package of four AA batteries costs $3.92soThe unit rate is equal to [tex]\frac{\$3.92}{4}=0.98\frac{\$}{battery}[/tex]A package of eight AA batteries costs $7.60soThe unit rate is equal to [tex]\frac{\$7.60}{8}=0.95\frac{\$}{battery}[/tex][tex]0.95\frac{\$}{battery}< 0.98\frac{\$}{battery}[/tex]thereforeA package of eight AA batteries is the better buyPart b) If you needed to purchase 16 batteries, how much money would you save by purchasing the package of batteries that is a better buy?If you buy two package of eight batteries (16 batteries)thenThe cost would be ------> [tex]\$7.60(2)=\$15.20[/tex]If you buy four package of four batteries (16 batteries)thenThe cost would be -----> [tex]\$3.92(4)=\$15.68[/tex]thereforePurchasing the package of batteries that is a better buyyou save[tex]\$15.68-\$15.20[/tex][tex]\$0.48[/tex]