Question

Matthew is training to participate in a half marathon. The table below shows the number of miles he runs in weeks 1 and 2.

Week

Number of Miles Run
1 12.5
2 13.5


Each week, Matthew increases the number of miles he runs in the previous week by the same percent. How many miles does Matthew run in week 3? Do not round your answer

Answer 1

Matthew ran 14.58 miles in week 3

Answer 2

14.58 miles.

Explanation:

Matthew is training to participate in a half marathon.

The distance covered by Matthew on the first day is 12.5 miles.

The distance covered by Matthew on the second day is 13.5 miles.

The distance increased on the second day is,
`13.5-12.5=1` mile.

The percentage will be,

`=(1)/(12.5)* 100\%`

`=0.08* 100\%`

`=8\%`

Hence, each day he runs 8% more. So the distance covered by him on day 3 will be,

`=13.5+\left(13.5* (8)/(100)\right)`

`=13.5+1.08`

`=14.58` miles