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

Answer:

$y = 9.6x$

Yes, y is a function of x.

$x = \frac{5}{48} y$

Step-by-step explanation:

For a proportional relation, the equation is given by:

$y = kx$

where k is the unit rate of change.

We were told that, Lin's sister earns $9.6 per hour.

This means k=9.6.

We substitute to get:

$y = 9.6x$

We could rewrite this as

$y(x) = 9.6x$

Yes, y is a function of x.

To obtain an equation describing x as a function of y, we solve for x to get:

$x = \frac{1}{9.6} y$

Answer 2

Based on the information given, the equation will be y = 9.6x.

From the equation given, it was stated that the amount Lin's sister earns at her part-time job is proportional to the number of hours she works and that she earns $9.60 per hour.

Therefore, writing the equation in the form y=kx to describe this situation will be:

y = (9.6 × x)

y = 9.6x

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