A company charges $2.50 per bottle when a certain beverage is bo

Edmund Adams 2021-11-16 Answered
A company charges \(\displaystyle\${2.50}\) per bottle when a certain beverage is bought in lots of 120 bottles or less, with a price per bottle of \(\displaystyle\${2.25}\) if more than 120 bottles are purchased. Let \(\displaystyle{C}{\left({x}\right)}\) represent the cost of x bottles. Find the cost for the following numbers of bottles.
a) 90
b) 120
c) 150

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Greg Snyder
Answered 2021-11-17 Author has 8000 answers

Step 1
a) 90
Here the number of bottles are less than 120.
\(\displaystyle\Rightarrow\text{Price of each bottle is}\${2.50}\)
\(\displaystyle\Rightarrow\text{The price of 90 bottles is,}\)
\(\displaystyle{\left({90}\right)}\times{\left(\${2.50}\right)}=\${225}\)
b) 120
The number of bottles are 120.
\(\displaystyle\Rightarrow\text{Price of each bottle is}\${2.50}\)
\(\displaystyle\Rightarrow\text{The price of 120 bottles is,}\)
\(\displaystyle{120}\times{\left(\${2.50}\right)}=\${300}\)
c) 150
Here the number of bottles are more than 150.
\(\displaystyle\Rightarrow\text{Price of each bottle is}\${2.25}\)
\(\displaystyle\Rightarrow\text{The price of 150 bottles is,}\)
\(\displaystyle{\left({150}\right)}\times{\left(\${2.25}\right)}={337.5}\)

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