Janice is running a 7613 meter race. Assume the she runs at a constant speed of 287 meters per minute. Express the function f(t) that gives her distance from the finishing line t minutes after the start of the race.
The distance run in each minute is 287m
S, in t minutes, she runs 287t meters
If she started of with 7613meters t go, then after t minutes, she has
7613 - 287t meters left to go
f(t) = 7613 - 287t
To express the function f(t) that gives Janice's distance from the finishing line t minutes after the start of the race, we will use the formula:
f(t) = 7613 - 287t
Here, t represents the number of minutes that have passed since the start of the race, and f(t) represents the distance remaining from the finishing line at that time.
To express the function f(t) that gives Janice's distance from the finishing line t minutes after the start of the race, we need to consider that Janice runs at a constant speed of 287 meters per minute.
Since she is running at a constant speed, we can use the formula for distance, which is given by:
distance = speed × time
In this case, the speed is 287 meters per minute, and the time is t minutes. Therefore, the function f(t) is:
f(t) = 287t
This function will give you Janice's distance from the finishing line t minutes after the start of the race.