Question

Cory is hiking up a hill with a constant slope. The double number line shows that after Cory hikes 3 km, his elevation is 120 m. Select the double number line that correctly labels Cory's elevation after he hikes 1, 2, and 4 km.

Answer 1

The correct double number line for Cory's hike would be 1 km - 40m elevation, 2 km - 80 m elevation, and 4 km - 160 m elevation, as the relationship between hiking distance and elevation is proportional.

Step-by-step explanation:

The subject of this question is Proportional Reasoning in mathematics. Cory's elevation increase proportionally, as he hikes up the hill. For every 1 km he hikes, he gains an elevation of 40m (120m/3km = 40m/km). So, if Cory hikes 1 km, his elevation would be 40m (1 km * 40m/km). If he hikes 2 km, his elevation would be 80m (2 km * 40m/km), and for 4 km, his elevation would be 160 m(4 km * 40m/km). So the correct double number line would be respectively 1 km - 40m, 2 km - 80m, and 4 km - 160m.

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