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

Answer with explanation:

If we draw a Vertical number line, Where Sea level Represents=0,

Point on number line where Rory is standing = +300 feet

Equation of average change in elevation over time is given by equation:

    e = 300 - 10 t

So, when t=0, e=300

and, when e=0 , gives ,

10 t= 300

→→Dividing both sides by 10

  t =30

→Average change

   $=\frac{e_{2}-e_{1}}{t_{2}-t_{1}}$

→Rate of change

 $=\frac{300-0}{0-10}=-30{\frac{feet}{minute}}$

Viable points →

e (feet)              300          0

t (minutes)          0            30      

Answer 2

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:

a = not viable

b = 265

c = 0

Got it right on edg. 2020, hope this helped! :)