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

x y
1 290
2 280
3 270
4 260
5 250
6 240
7 230
8 220
9 210
10 200
11 90
12 180
13 170
14 160
15 150
16 140
17 130
18 120
19 110
20 100
21 90
22 80
23 70
24 60
25 50
26 40
27 30
28 20
29 10
30 0

Answer 2

Explanation:

Given that 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,`

t= time in minutes

e = elevation

We can say that e cannot be negative

so we can have
`0=300-10t` as extreme value

t=30 minutes can be the maximum time and minimum time is obviously 0.

Thus t can take values between 0 and 30.

e (30) = 0 and e(0) = 300

So e can take values from 0 to 300