Question

In a grocery shop, the bill of Adam is $y=1000x+4000$. The bill given to him is a

• A. Function not a relation
• B. Non linear function
• C. Linear- function
• D. Constant function

Answer 1

The correct option is C Linear- function

Adam's bill is $y=1000x+4000$

$y=1000x+4000$ is a function as for every input values of $x$ different outputs $y$ will be obtained. Every function is a relation.

Also, $y=1000x+4000$ can be written as $y=1000x^1+4000x^0$

A function having the exponents of $x$ as $0$ or $1$ is a linear function.
Here in $y=1000x+4000$ the exponent of $x$ are $1$ and $0$. Hence $y=1000x+4000$ is a linear function.

This function involves $x$ so the output will vary hence the graph is not a constant function.