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jolli1 [7]
3 years ago
12

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. Estimat

e the number of minute he will spend walking over 8 weeks period. Write equation that represents the number of miles he walks in weeks
Mathematics
1 answer:
Phantasy [73]3 years ago
4 0

Answer:

480 miles

Equation:

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

Step-by-step explanation:

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

\bar x=\frac{1}{n}\sum(x_i)}\\\\=\frac{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\times 1\times 8\\\\=32\ miles

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

t=miles\times min/mile\\\\=15\times 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\times 15=60\ minutes

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

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

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Since the value of the car decreases by a common factor each year, the decay is exponential.

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Therefore, the function modeling the car's decay is:

A(t)=11000(1-0.09)^t

We want to determine the car's value in two years.

When t=2

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The value of the car in 2 years will be A(t)=$9109.10

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Step-by-step explanation:

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Step-by-step explanation:

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