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Question:
Leah took her friends for a ride in her hot air balloon.
The function r(t) = 210 - 15t models the height of the hot air balloon about the ground (in meters) as a function of time (in minutes) after takeoff.
Explain what r(10) means in the context of the real-world scenario, and how to find its value.
Answer:
The balloon reaches a height of 160 meters, 10 minutes after take off.
Step-by-step explanation:
Given
[tex]r(t) = 210 - 5t[/tex]
Required
Explain r(10)
First, we calculate r(10)
Substitute 10 for t in [tex]r(t) = 210 - 5t[/tex]
[tex]r(10) = 210 - 5 * 10[/tex]
[tex]r(10) = 210 - 50[/tex]
[tex]r(10) = 160[/tex]
Hence: r(10) means that the balloon reaches a height of 160 meters, 10 minutes after take off.