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

Respuesta :

Answer:

480 miles

Equation:

[tex]t=60w, w=number \ of \ week, t=time \ in \ minutes.[/tex]

Step-by-step explanation:

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

[tex]\bar x=\frac{1}{n}\sum(x_i)}\\\\=\frac{1}{2}(14+16)\\\\=15\ min[/tex]

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

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

[tex]Total \ Distance=4\times 1\times 8\\\\=32\ miles[/tex]

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

[tex]t=miles\times min/mile\\\\=15\times 32\\\\=480\ minutes[/tex]

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 [tex]4\times 15=60\ minutes[/tex]

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

[tex]t=60w, w=number \ of \ week, t=time \ in \ minutes.[/tex]