Question

Two hot air balloons are traveling along the same path away from a town, beginning from different locations at the same time. Henry´s balloon begins 30 miles from the town and is 48 miles from the town after 2 hours. The distance of Tasha´s balloon from the town is represented by the function y= 8x +20.
which balloon was farther from the town at the beginning, and which traveled more quickly?

Answer 1

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Answer:

  D.  Henry's started farther, went faster

Step-by-step explanation:

Henry's balloon traveled 18 additional miles (from 30 to 48) in 2 hours, so had a speed of 18mi/(2h) = 9 mi/h. The equation for his position could be ...

  y = 9x +30 . . . . . 9 is the rate of change; 30 is the initial value

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Comparing this to Tasha's position function, we see her balloon started 20 miles from town and traveled 8 miles per hour.

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Henry started farther from town and traveled faster.