Question

Rory is staying in a cabin on a hill 300 feet above sea level. She walks down the hill to the water’s edge. The equation of her average change in elevation over time is e = 300 – 10t, where t is the time in minutes since she left the cabin, and e is her elevation with regard to sea level. Which values are viable points, and what are their values in the table relating t and e?

Answer 1

For this problem, we plug in the numbers for t and the appropriate letters for e to the equation e = 300 - 10t.

a) a = 300 - 10(-2)

simplify: a = 300 + 20

simplify: a = 320 ft.

But, this is not a viable point because when t≤0, she doesn't move anywhere, thus, should consistently be 300 ft.

b) b = 300 - 10(3.5)

simplify: b = 300 - 35

simplify: b = 265 ft.

c) c = 300 - 10(30)

simplify: c = 300 - 300

simplify: c = 0 ft.

Answer 2

A) not viable

B) 265

C) 0