# Two practical applications in which “piecewise functions” are used either explicitly

Two practical applications in which “piecewise functions” are used either explicitly
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Step 1
Consider the provided question,
We have to discuss the two practical applications in which "piecewise functions" are used either explicitly or implicitly.
First practical applications for "piecewise functions".
A man started drive a car from his home. he travels 25 km in 1 hr after this go to office by bus which is ahead 10 km from the bus stop point. to reach the office from bus step it take 1 hr.
According to the above statement the piecewise function is,
Let S represent the speed in km/hr and t represent the time in hrs.
Speed = Distance / time
$Speed\left(S\right)=\left\{\left(25km/hr,0\le t\le 1\right),\left(10km/hr,1\le t\le 2\right)\right\}$
Step 3
Second practical applications for "piecewise functions".
A man goes to the market to purchase the orange but on going there the shopkeeper told him that if you take more than 5 kg then the rate is 50 rs/kg otherwise is 70 rs/kg.
Let r represent the rate in rs/kg and q represent the quantity in kg.
$rate\left(r\right)=\left\{\left(70rs/kg,0\le q\le 5\right),\left(50rs/kg,q>5\right)\right\}$