Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Parker just started a running plan where he runs 16 miles the first week and then increases the number of miles he runs by 
5% each week. If he keeps up this plan for 5 weeks, how many total miles would Parker have run, to the nearest whole number?

Parker just started a running plan where he runs 1616 miles the first week and then increases the number of miles he runs by 5%5\% each week. If he keeps up this plan for 55 weeks, how many total miles would Parker have run, to the nearest whole number?

Full solution

Q. Parker just started a running plan where he runs 1616 miles the first week and then increases the number of miles he runs by 5%5\% each week. If he keeps up this plan for 55 weeks, how many total miles would Parker have run, to the nearest whole number?
  1. Calculate Week 11 Miles: Calculate the miles Parker runs in the first week.\newlineMiles in Week 11 = 1616
  2. Calculate Week 22 Miles: Calculate the miles for Week 22, increasing by 55% from Week 11.\newlineMiles in Week 22 = 16×1.05=16.816 \times 1.05 = 16.8
  3. Calculate Week 33 Miles: Calculate the miles for Week 33, increasing by 55% from Week 22.\newlineMiles in Week 33 = 16.8×1.05=17.6416.8 \times 1.05 = 17.64
  4. Calculate Week 44 Miles: Calculate the miles for Week 44, increasing by 55% from Week 33.\newlineMiles in Week 44 = 17.64×1.05=18.52217.64 \times 1.05 = 18.522
  5. Calculate Week 55 Miles: Calculate the miles for Week 55, increasing by 5%5\% from Week 44.\newlineMiles in Week 55 = 18.522×1.05=19.448118.522 \times 1.05 = 19.4481
  6. Calculate Total Miles: Add up all the miles run over the 55 weeks.\newlineTotal miles = 16+16.8+17.64+18.522+19.4481=88.410116 + 16.8 + 17.64 + 18.522 + 19.4481 = 88.4101