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IMC-2021-25
Thomas has constant speeds for both running and walking. When a down-escalator is moving. Thomas can
run down it in 15 seconds or walk down it in 30 seconds. One day, when the escalator was broken (and
stationary), it took Thomas 20 seconds to run down it.
How long, in seconds, would it take Thomas to walk down the broken escalator?
30
40
45
50
60

Thomas walks down the stopped escalator in 30 seconds

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

by definition, an arc subtended by a central angle of some given measure has the same measure. so .