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A hot air balloon descends to the ground. The function h(t) = 210 – 15t can be used to describe the altitude of the balloon as it approaches the ground. Which statement best describes the graph of the function that models the descent of the balloon?

AThe graph is discrete because there cannot be fractional values for time.
BThe graph is discrete because there cannot be negative values for altitude.
CThe graph is continuous because there can be fractional values for time.
DThe graph is continuous because there can be negative values for altitude.

Verified Answer :

C The graph is continuous because there can be fractional values for time

Answer:

Option c

Step-by-step explanation:

Given that a hot air balloon descends to the ground.

The function

\(h(t) = 210 - 15t\)

can be used to describe the altitude of the balloon as it approaches the ground.

Here t = time and h = height

Since t cannot be negative we can t starting from 0

t can take any fractional value and h is well defined for any value of t positive

So option c is right

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