Asked by d

h(t)=15t + 1200 is a function that models the motion of a mountain climber. h(t) is his height above sea level at time t in minutes.

1a) the coefficient on t is 15. what does it tell you about the motion of the mountain climber?
1b) what does it tell you about the graph of h(t)?

2) is it reasonable to say h(1000) = 16200? why or why not? yes but i don't know why. i just did the math and it fits.

can someone help me?

Answers

Answered by Reiny
the 15 would be the number of units of height he would climb every minute
You don't say what units, but I would assume h(t) is in metres.

the graph would be increasing, that is, it would rise to the right.

h(1000) makes no physical sense even though you get a mathematical answer. It means that he was climbing constantly for 1000 minutes, and would have reached a height of 16200 m or 16.2 km.
Considering the fact that Mt Everest is about 8.8 km above sea level .....
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