Write a function that models the following description: A man drove a total of 40 miles
over a 2-hour period. (1 point)
f(_)=_
f(x) = 40/2*x
To model the given description, we can define a function that represents the distance traveled by the man during the given time period. Let's call this function f.
The function f will take the time in hours as an input and return the distance traveled in miles. Since the man drove a total of 40 miles over a 2-hour period, we can calculate the rate at which he was driving and use it to determine the distance.
Here's the function that models the given description:
f(t) = 20 * t
In this function, t represents the time in hours. The function returns the distance traveled in miles, which is calculated as 20 miles per hour multiplied by the time in hours.
So, for example, if we input t = 1 into the function, it will return 20 miles since the man drove 20 miles in the first hour.
If you have any more questions, feel free to ask!
To model the given description using a function, we can represent the distance driven by the man as a function of time. Let's call the function f and use t to represent time in hours.
Since the man drove a total of 40 miles over a 2-hour period, we can divide the total distance (40 miles) by the total time (2 hours) to find the average speed. The average speed will be the rate at which the distance changes with respect to time.
The formula for average speed is given by:
Average speed = Total distance / Total time
In this case, the average speed is:
Average speed = 40 miles / 2 hours = 20 miles per hour
Now, with the average speed, we can model the distance driven by the man as a function of time. Assuming the man starts at 0 miles and drives for t hours, the function can be written as:
f(t) = 20t
Where t is the time in hours and f(t) represents the distance driven in miles.
So, the function that models the given description is:
f(t) = 20t