Question

At the exact moment Luther Lech launched his nuclear SD-V rocket, an unassuming civilian named Keaton Carver (who wears glasses) entered a phone booth in the city of Townopolis. A mysterious object immediately begins flying through the city. Let M(t) be the mysterious object’s height above the ground, in units of miles, t minutes after Keaton Carver entered the phone booth. At time t = 1 minutes, a bystander shouts “Look! Up in the sky! It’s a bird!” loudly in the public square. This bystander is an ornithologist who knows that birds in Townopolis fly at a height of 0.1 miles above the ground. Exactly 30 seconds later, a different bystander looks up and responds “No, it’s a plane!” This second bystander is an avionics engineer who knows that planes over Townopolis fly at a height of 7 miles above the ground. It turns out that M(t) can be modeled as a power function. Write a reasonable formula for the function M(t) based on the bystanders’ observations.

Answer 1