Question

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number of miles traveled.

use the ordered pairs from the graph to fill in the missing values in the table.
enter your answer by filling in the boxes.

x	y
8	360
12	\square

(graph: x - axis: hours driven, y - axis: miles traveled. the line passes through (2,100)? wait, no, looking at the graph, when x=2, y=100? wait, no, the grid: when x=2, y=100? wait, the graph has x from 0 to 14, y from 0 to 600. the line goes through (2,100)? wait, no, maybe (2,100) is a point? wait, the table has (8,360). lets check the slope. from the graph, maybe the slope is 50? no, wait, when x=2, y=100? wait, no, the table has x=8, y=360. so slope is 360/8 = 45? wait, no, 360 divided by 8 is 45? wait, 845=360. then for y=180, x=180/45=4? wait, no, maybe the slope is 50? wait, the graph: when x=2, y=100 (since 100 is on the y - axis, x=2). then slope is 100/2=50. then for y=180, x=180/50=3.6? no, that doesnt match. wait, the table has x=8, y=360. 360/8=45. so maybe the slope is 45. then y=45x. so when y=180, x=180/45=4. when x=12, y=4512=540. so the missing x is 4, missing y is 540. but the ocr text is as above, with the table and the graph.

Explanation:

Step1: Find unit rate (mph)

From the pair $(8, 360)$, calculate speed:
$\text{Speed} = \frac{360}{8} = 45$ miles per hour

Step2: Solve for x when y=180

Rearrange speed formula to find time:
$x = \frac{y}{\text{Speed}} = \frac{180}{45} = 4$

Step3: Solve for y when x=12

Use speed formula to find distance:
$y = \text{Speed} \times x = 45 \times 12 = 540$

Answer:

x	y
8	360
12	540