Question

Every week, Enrique walks one mile each day for 4 days of the week. He can usually walk one mile in about 14-16 minutes. Estimate the number of minute he will spend walking over 8 weeks period. Write equation that represents the number of miles he walks in weeks

Answer 1

480 miles

Equation:

`t=60w, w=number \ of \ week, t=time \ in \ minutes.`

Explanation:

#First we calculate the average time it takes to walk one mile:

`\bar x=(1)/(n)\sum(x_i)}\\\\=(1)/(2)(14+16)\\\\=15\ min`

#We then calculate the number of miles he walks in 8 weeks.

-Given he walks one mile per day, 4 times a week;

`Total \ Distance=4* 1* 8\\\\=32\ miles`

#Multiply the distance traveled by the average time per mile to get total time spent:

`t=miles* min/mile\\\\=15* 32\\\\=480\ minutes`

Hence, the walking time over the 8 period will be 480 minutes

#This can be represent as:

Let w be the number of weeks and t be the time in minutes.

The time spent on walking per week is
`4* 15=60\ minutes`

Therefore the time spent walking in w weeks is represented as:

`t=60w, w=number \ of \ week, t=time \ in \ minutes.`