Answer: The required function is,
D(t) = 166 - 4 t
Step-by-step explanation:
Here, the speed of the stunt driver = 24 meters per seconds,
⇒ The distance he will cover in 4 seconds = 24 × 4 = 96 meters
( Distance = speed × time )
According to the question,
The distance of the safe zone from the building where did he escape = 70 meters + The distance he covers in 4 seconds
= 70 + 96
= 166 meters
Hence, if he is driving with the constant speed of 24 meters per minutes,
Then, his distance from the safe zone after t seconds = 166 - 24 t
⇒ D(t) = 166 - 24 t
Which is the required function.
The distance from the safe zone after t seconds is [tex]\rm D(t) = 166 - 24 t[/tex].
Given
Rachel is a stunt driver.
One time during a gig where she escaped from a building about to explode she drove to get to the safe zone at 24 meters per second.
After 4 seconds of driving, she was 70 meters away from the safe zone.
A linear function containing one dependent and one independent variable.
It is represented in the form of;
[tex]\rm y =mx+c[/tex]
Where m is the slope.
Let, D(t) = the distance to the safe zone (measured in meters)
t = time (measured in seconds)
At seconds t = 4 seconds D(t1) = 70 meters
Rachel's rate is the slope of the function D(t). Since the distance is decreasing when the time is increasing, the slope must be negative.
Hence, the linear function expression is;
[tex]\rm D(t) = -24t+b[/tex]
The value of b is;
[tex]\rm D(t_1) = -24t+b\\\\70 = -24\times 4+b\\\\70=-96+b\\\\b = 96+70\\\\b=166[/tex]
Therefore, the distance from the safe zone after t seconds is [tex]\rm D(t) = 166 - 24 t[/tex].
To know more about the Linear function click the link given below.
https://brainly.com/question/13919345
