Question

A 2-column table with 3 rows. The first column is labeled time (t) with entries negative 2, 3.5, 30. The second column is labeled Elevation(e) with entries a, b, c.
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?

a =

b =

c =

Answer 1

Compute e = 300 − 10t for each t.

- a (t = −2): e = 300 − 10(−2) = 320 → point (−2, 320). Not viable in context (t < 0).
- b (t = 3.5): e = 300 − 10(3.5) = 265 → point (3.5, 265). Viable.
- c (t = 30): e = 300 − 10(30) = 0 → point (30, 0). Viable (at sea level / water’s edge).

So a = 320, b = 265, c = 0.