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school is 2 miles from home along a straight road. the table shows your distance from home as you walk home at a constant rate.

time(mins): 10-20-30
distnce(mi)1.5-1-0.5

1)is the relationship in the table
proportional?
2)find your distance from school fro each time in the table
3)write an equation representing the relationship between the distance from school and time walking.

Part 1) Is the relationship in the table proportional?

Let

y-------> your distance from home in miles

x-------> the time in minutes

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

Let

Find the slope AB

the slope is equal to

Substitute the values

Find the equation of the line with m and the point A

therefore

The answer part 1) is

the relationship in the table is not proportional

Part 2) Find your distance from school fro each time in the table

for

for

for

Part 3) Write an equation representing the relationship between the distance from school and time walking

Let

y-------> your distance from school in miles

x-------> the time in minutes

Find the slope AB

the slope is equal to

Substitute the values

Find the equation of the line with m and the point A

therefore

the answer part 3) is

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