Question

Which unit rate corresponds to the proportional relationship shown in the graph?

Drag and drop the answer into the box to match the graph with its unit rate.


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A graph with a line running through coordinates left parenthesis 0 comma 0 right parenthesis and coordinates left parenthesis 12 comma 16 right parenthesis.

Answer 1

Answer: 4/3

Explanation:

Answer 2

Answer: 4/3

Work shown:

The two points on this line are (0,0) and (12,16)

Compute the slope as shown below.

`(x_1,y_1) = (0,0) \text{ and } (x_2,y_2) = (12,16)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_(2) - \text{y}_(1)}{\text{x}_(2) - \text{x}_(1)}\\\\m = (16 - 0)/(12 - 0)\\\\m = (16)/(12)\\\\m = (4)/(3)\\\\`

The slope of
`(4)/(3)` means that unit rate, aka speed, is
`(4)/(3) \text{ centimeters per second}`.

The notation
`(4)/(3)` is the same as writing 4/3.