Question

PLEASE HELP AND SHOW WORK i'm very confused

D’Andre has decided that he needs to get more exercise, so he is building a running regimen for himself. He decides that, beginning on Sunday, he’ll run 10 feet. On each subsequent day, he’ll double the distance he ran the previous day. So he’ll run 20 feet on Monday, 40 feet on Tuesday, and so on. His Track coach (who also happens to be his math teacher) told D’Andre that he won’t be able to keep to his plan for very long, but D’Andre is determined to make it work for at least two weeks.

a. According to his plan, how far will D’Andre have to run on the 14th day? Give your answer to the nearest tenth of a mile (1 mile = 5,280 feet).

b. If D’Andre sticks to his plan, how far will he have run in those 2 weeks? Give your answer to the nearest tenth of a mile.

Answer 1

a. about 15.51 miles, rounded to 15.5 miles

b. about 31.02 miles, rounded to 31 miles

Explanation:

Sunday Monday Tuesday Wednesday Thursday Friday Saturday

10 20 40 80 160 320 640

1280 2560 5120 10240 20480 40960 81920

81920/5280 = 15.51515151, rounded to the nearest tenth of a mile, 15.5 miles

Question b asks for how many miles in total has he ran. That means we have to add each of the values shown above and that equals to 163830 feet.

Divide that by 5280 and that equals 31.02 miles, rounded to the nearest tenth, 31 miles.