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In March 1999, Bertrand Piccard and Brian Jones attempted to become the first people to fly around the world in a hot air balloon. Based on the average speed of 97.8 kilometers per hour, the distance they traveled in kilometers, \(d\), can be modeled by:

\[d(t) = 97.8t\]

where \(t\) is the time in hours. They traveled for a total of 478 hours.

What is the domain of this function?

Answer :

Final answer:

In mathematics, the domain of a function refers to the set of all possible input values. In this context, the domain of the function d(t) = 97.8t is 0 ≤ t ≤ 478, representing the total amount of hours Bertrand Piccard and Brian Jones traveled.

Explanation:

In the context of this problem, the domain of a function refers to the set of all possible input values (in this case, time in hours) that can yield an output. Since Bertrand Piccard and Brian Jones traveled for a total of 478 hours, the domain of the function d(t) = 97.8t is 0 ≤ t ≤ 478. This means the function is defined for all values of t between 0 and 478, inclusive. Any other value outside this range would not be relevant in this context, as it would indicate a time beyond, or before, their journey.

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Answer:

Distance traveled= 41968.4 km

The domain of the function is t

t(h)= 478

h = hours

Step-by-step explanation:

the distance that they traveled in kilometers, d, can be modeled by

d(t) = 97.8t

where t is the time in hours

They traveled a total of 478 hours.

Distance traveled d(t)

d(t) = 87.8(478)

d(t) = 41968.4

Distance traveled= 41968.4 km

The domain of the function is t

t(h)= 478

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