Question

Susie begins a new walking program with 600 m on the first.day . Each day she will increaseher walk by 300 m . How mang km will she walk on 18 days?

Answer 1

Answer: 5.7 km

Step-by-step explanation: take first day as day 1

day 1, she walked 600 m

day 2, she increased her walk by 300 m

that means, day 2 = 600 m + 300 m = 900 m

day 3, she increased her walk by 300 m again

that means, 900 m + 300 m = 1200 m

so we can deduce a formula to calculate her expected walk for the remaining days

day n = initial distance + increased distance (n - 1)

where; n is the no. of day we are looking for

initial distance is the distance walked on day 1

increased distance is the distance added on each day

so, if day 3 = 600 m + 300 m (2) = 600 m + 600 m = 1200 m

∴ day 18 = 600 m +  300 m (17) = 600 m +  5100 m = 5700 m

now, we convert 5700 m to km.

1000m=1km

5700m= 5.7km

so, on 18 days, susie will walk 5.7 km