Question

Lolita swims laps every day at a local pool. The function f(w) represents the number of laps that she swims each day during week w. Complete the table to show the number of laps Lolita swims each day during the indicated weeks.

a) Number of Laps: Week 1 = 10, Week 2 = 12, Week 3 = 14
b) Number of Laps: Week 1 = 10, Week 2 = 12, Week 3 = 16
c) Number of Laps: Week 1 = 10, Week 2 = 12, Week 3 = 18
d) Number of Laps: Week 1 = 10, Week 2 = 14, Week 3 = 18

Answer 1

The correct function that represents the number of laps Lolita swims each day during the indicated weeks is f(w) = 10 + (w - 1) * 4. The correct option is d) Number of Laps: Week 1 = 10, Week 2 = 14, Week 3 = 18.

Step-by-step explanation:

To determine the function f(w) that represents the number of laps that Lolita swims each day during week w, we can examine the given data. From the options provided, d) Number of Laps: Week 1 = 10, Week 2 = 14, Week 3 = 18 is the correct choice. The function can be expressed as:

f(1) = 10

f(2) = 14

f(3) = 18

In this case, the number of laps increases by 4 each week, so we can determine the number of laps for any week by using the formula f(w) = 10 + (w - 1) * 4. Therefore, the correct answer is d) Number of Laps: Week 1 = 10, Week 2 = 14, Week 3 = 18.