Answer:
Part a) A package of eight AA batteries is the better buy
Part 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 rate
A package of four AA batteries costs $3.92
so
The unit rate is equal to
[tex]\frac{\$3.92}{4}=0.98\frac{\$}{battery}[/tex]
A package of eight AA batteries costs $7.60
so
The 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]
therefore
A package of eight AA batteries is the better buy
Part 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)
then
The cost would be ------> [tex]\$7.60(2)=\$15.20[/tex]
If you buy four package of four batteries (16 batteries)
then
The cost would be -----> [tex]\$3.92(4)=\$15.68[/tex]
therefore
Purchasing the package of batteries that is a better buy
you save
[tex]\$15.68-\$15.20[/tex]
[tex]\$0.48[/tex]
