Question

Hi! Had some medical issues , now i’m trying to catch up on work . Kinda got it just need to see someone do it! Thank you.

Answer 1

t= time in minutes

E= elevation in feet

(1)

Plane #1:

Has an elevation of 61660 ft and is descending (negative) at the rate of 650 ft/min.

• Plane #1 : E(t)= 61660 - 650t

Plane #2

Has an elevation of 12670 ft and is climbing (positive) at the rate of 500

ft/min.

• Plane#2 : E(t)= 12670 + 500t

(2)

In order to have the same elevation, both functions must be equal:

Plane #1 = Plane #2

61660 - 650t = 12670 + 500t

Solve for t

61660 - 12670 = 500t + 650 t

48990 = 1150t

48990/1150 = t

t = 42.6 minutes after 11:00 am

(3)

Replace t=42.6 on any equation and solve foe E.

E(42.6) = 61660 - 650(42.6)

E(42.6) = 61660 - 27690

E(42.6) = 33970 feet