Respuesta :
Answer:
The required function is [tex]f(t)=1090-5t[/tex]
Step-by-step explanation:
Consider the provided information.
A tortoise and a hare are competing in a 1600-meter race. The arrogant hare decides to let the tortoise have a 510-meter head start.
The tortoise begins crawling at a constant speed of 5 meters per second.
The distance covered by tortoise in t second is:
[tex]Distance=speed \times time[/tex]
[tex]Distance=5\times t=5t[/tex]
We need to Define a function f to represent the tortoise's distance from the finish line (in meters) in terms of the number of seconds t since the start of the race.
[tex]f(t)=1600-510-5t[/tex]
[tex]f(t)=1090-5t[/tex]
Hence, the required function is [tex]f(t)=1090-5t[/tex]
Answer:
f(t) = 1090 - 5t
Step-by-step explanation:
A tortoise and a hare are competing in a 1600 meter race but the tortoise is 510 meter ahead of hare.
If tortoise traveled in 't' seconds after the start gun was fired, total distance covered = Speed × times
= 5t meters
Since distance of the tortoise from the start line is = 510 meter
So, the distance at which the tortoise will reach after the start gun = (510 + 5t) meter
Now the distance of tortoise from the finish line = 1600 - (510 + 5t)
= 1600 - 510 - 5t
= (1090 - 5t)
If a function 'f' defines the tortoise's distance from the finish line then the function will be f(t) = (1090 - 5t)
