Question

Time (t)

-2
3.5
30
Elevation (e)
a
с
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 =
V
=
C=
V

Answer 1

At the initial time (-2 minutes), Rory's elevation was 320 feet. At 3.5 minutes, it was 265 feet. By 30 minutes, she reached sea level (0 feet).

Appropriate Values:

- Time values (t): -2, 3.5, 30 (as provided in the table)

- Elevation values (e): a, c (initial and final elevation)

- Average rate of change in elevation (V) can be calculated using the equation e = 300 - 10t.

Viable Points and Values in the Table:

1. Initial Point (a):

- Time (t) = -2 minutes

- Elevation (e) = 300 - 10(-2) = 320 feet (initial elevation)

2. Intermediate Point (V):

- Time (t) = 3.5 minutes

- Elevation (e) = 300 - 10(3.5) = 265 feet (intermediate elevation)

3. Final Point (c):

- Time (t) = 30 minutes

- Elevation (e) = 300 - 10(30) = 0 feet (sea level)

Values in the Table:

- a = 320 (initial elevation at time -2 minutes)

- V = 265 (intermediate elevation at time 3.5 minutes)

- c = 0 (final elevation at time 30 minutes)

The probable question maybe:

Meaningful Question:

"At what time did Rory reach the water's edge, what was her elevation at that moment, and what is the average rate of change in elevation over the given time interval?"

Time values (t): -2, 3.5, 30 (as provided in the table)

Elevation values (e): a, c (initial and final elevation)

Average rate of change in elevation (V) can be calculated using the equation e = 300 - 10t.