A plan starts to descend to prepare for landing. The height of the plane, h, in meters can be represented as the function h(t)=−95t+3800 where t is the number of minutes after the plane starts its descent. What is the meaning of the 3800 in the equation of this function?(1 point) Responses The height of the plane is 3800 meters when it lands. The height of the plane is 3800 meters when it lands. The height of the plane increases by 3800 meters each minute. The height of the plane increases by 3800 meters each minute. The plane descends 3800 meters in one hour. The plane descends 3800 meters in one hour. The height of the plane is 3800 meters when it begins to descend.
The height of the plane is 3800 meters when it begins to descend.
The meaning of the 3800 in the equation h(t) = -95t + 3800 is that the height of the plane is 3800 meters when it begins to descend.
To find the meaning of the 3800 in the equation h(t) = -95t + 3800, we need to understand the context of the function.
The given function represents the height of the plane, h, in meters, as a function of time, t, in minutes. The function is a linear equation in the form y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope is -95, which means that for every minute that passes, the height of the plane decreases by 95 meters.
Now, let's focus on the meaning of the b or the y-intercept, which is 3800 in this case. The y-intercept represents the initial value of the function, or the height of the plane when t is equal to 0.
Therefore, the meaning of the 3800 in the equation is: "The height of the plane is 3800 meters when it begins to descend."
So, the correct response is: "The height of the plane is 3800 meters when it begins to descend."