Question

Nadia swims at a rate of 50 meters per minute. Create a function f, where f(n) gives the number of meters Nadia swims given the number of minutes she swims, n. Write a function using function notation that describes the total number of meters Nadia has swam for any given number of minutes.

a) f(n) = 50n
b) f(n) = 50 + n
c) f(n) = 50/n
d) f(n) = 50 - n

Answer 1

The correct function for the total distance Nadia swims based on the number of minutes is f(n) = 50n. This calculates the total meters swum by multiplying the rate of 50 meters per minute by the minutes swum.

Step-by-step explanation:

The function that describes the total number of meters Nadia swims given the number of minutes she swims, n, is f(n) = 50n. This function uses the rate of 50 meters per minute and multiplies it by the number of minutes n to get the total distance swum in meters.

To use this function, simply plug in the value of n, which represents the number of minutes spent swimming, into the function. For example, if Nadia swims for 10 minutes, then f(10) = 50 × 10 = 500 meters.