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?
Q. 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?
Calculate Week 1 Miles: Calculate the miles Parker runs in the first week.Miles in Week 1 = 16
Calculate Week 2 Miles: Calculate the miles for Week 2, increasing by 5% from Week 1.Miles in Week 2 = 16×1.05=16.8
Calculate Week 3 Miles: Calculate the miles for Week 3, increasing by 5% from Week 2.Miles in Week 3 = 16.8×1.05=17.64
Calculate Week 4 Miles: Calculate the miles for Week 4, increasing by 5% from Week 3.Miles in Week 4 = 17.64×1.05=18.522
Calculate Week 5 Miles: Calculate the miles for Week 5, increasing by 5% from Week 4.Miles in Week 5 = 18.522×1.05=19.4481
Calculate Total Miles: Add up all the miles run over the 5 weeks.Total miles = 16+16.8+17.64+18.522+19.4481=88.4101
More problems from Percent of change: word problems