Question

The amount Lin's sister earns at her part-time job is proportional to the number

of hours she works. She earns $9.60 per hour. Write an equation in the form y=kx
to describe this situation, where x represents the hours she works and y
represents the dollars she earns.Is y a function of x? Explain how you know. Write
an equation describing x as a function of y.

Answer 1

the equation framed in the form of y=kx is
`y = 9.6(x)` and , x as a function of y
`x=(1)/( 9.6)(y)` .

Explanation:

Here we have , The amount Lin's sister earns at her part-time job is proportional to the number of hours she works. She earns $9.60 per hour. We need to find an equation in the form y=kx to describe this situation, where x represents the hours she works and y represents the dollars she earns.Is y a function of x . Also , Write an equation describing x as a function of y . Let's find out:

Here , Lin's sister earns $9.60 per hour . Let x represents the hours she works and y represents the dollars she earns . So , According to question following is the equation framed in the form of y=kx :

⇒
`y = 9.6(x)`

Yes, y is a function of x , as a straight line with a slope of 9.6

Now , x as a function of y :

⇒
`(y)/( 9.6)=(x)`

⇒
`x=(1)/( 9.6)(y)`

Therefore , the equation framed in the form of y=kx is
`y = 9.6(x)` and , x as a function of y
`x=(1)/( 9.6)(y)` .