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 $x=\frac{1}{ 9.6}(y)$ .

Step-by-step 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 :

⇒ $\frac{y}{ 9.6}=(x)$

⇒ $x=\frac{1}{ 9.6}(y)$

Therefore , the equation framed in the form of y=kx is  $y = 9.6(x)$ and ,  x as a function of y $x=\frac{1}{ 9.6}(y)$ .