the function $h(t)=210 - 15t$ models the altitude of a hot air balloon over time $t$, in minutes. explain…

the function $h(t)=210 - 15t$ models the altitude of a hot air balloon over time $t$, in minutes. explain what $h(10)$ means in the context of the real - world scenario, and how to find its value.

the function $h(t)=210 - 15t$ models the altitude of a hot air balloon over time $t$, in minutes. explain what $h(10)$ means in the context of the real - world scenario, and how to find its value.

Answer

Explanation:

Step1: Interpret the function input

The function $h(t)$ gives altitude. $t = 10$ means 10 minutes have passed.

Step2: Substitute the value

Substitute $t = 10$ into $h(t)=210 - 15t$. So $h(10)=210-15\times10$.

Step3: Calculate the result

First, calculate $15\times10 = 150$. Then $h(10)=210 - 150=60$.

Answer:

$h(10)$ represents the altitude of the hot - air balloon 10 minutes after the start, and its value is 60 (the unit of altitude is not given in the problem, but it is likely to be in the same unit as the constants in the function). So the altitude of the hot - air balloon 10 minutes into the flight is 60 units.