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

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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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.
$$\displaystyle\Rightarrow\text{Price of each bottle is}\{2.25}$$
$$\displaystyle\Rightarrow\text{The price of 150 bottles is,}$$
$$\displaystyle{\left({150}\right)}\times{\left(\{2.25}\right)}={337.5}$$