Question

You found a unit rate that compares dollars earned per hours worked at the coffee shop.Is there another unit rate you could write for this relationship? What does that unit ratemean in the context of the situation? What is the related constant of proportionality?

Answer 1

See Explanation

Explanation:

The question is incomplete. However, I'll assume the following.

Unit Rate = $10 per 2 hours

Solving further, we have that:

1. Yes, there is another unit rate that can be written.

Unit Rate = $10 per 2 hours

Convert Rate to fraction

`Unit\ Rate = (\$10)/(2\ hours)`

Divide numerator and denominator by 2

`Unit\ Rate = (\$5)/(1\ hour)`

Simplify:

`Unit\ Rate = $5/hour`

2. The unit rate implies that the earnings is $5 per hour

3. The constant of proportionality

Let y represent the earnings

x represent work hours.

We have:

`y = kx`

Where k = constant of proportionality

In this case:

`y = 10`

`x = 2`

Substitute these values in
`y = kx`

`10 = k * 2`

`10 = 2k`

Divide both sides by 2

`5 = k`

`k = 5`

Hence: The unit of proportionality is 5

Apply the above steps in your question