Question

Carla joins the gym. Her instructor suggests starting out with a 30-minute session and, from there, increasing the sessions every 5 minutes each day.How many minutes of exercise time will she have accumulated after 15 days?

Answer 1

Carla will accumulate 1950 minutes of exercise time after 15 days by increasing her daily sessions by 5 minutes.

Step-by-step explanation:

To calculate the total exercise time Carla will have accumulated after 15 days, we need to determine how many minutes she will be exercising each day. Starting with a 30-minute session, she will increase the sessions by 5 minutes each day.

So, on the first day, Carla will exercise for 30 minutes. On the second day, she will exercise for 35 minutes (30 minutes + 5 minutes). On the third day, she will exercise for 40 minutes (35 minutes + 5 minutes), and so on.

This pattern will continue for 15 days. We can find the total exercise time by adding up the minutes for each day:

Total exercise time = 30 + 35 + 40 + .... + (30 + 5*(15-1))

Using the formula for finding the sum of an arithmetic sequence, the total exercise time after 15 days will be:

Total exercise time = (15/2)*(2*30 + (15-1)*5) = 15*(60 + (14*5)) = 15*(60 + 70) = 15*130 = 1950 minutes.