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User Rihekopo
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1 Answer

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1) Take into account that a linear relation can be written as follow:

y = mx + b

where m is the slope of the line and the constant b the y-coordinate of the y-intercept.

Due to Rocco started to count from a distance of 4 miles, this is a constant number, which is equivalent to b, that is, b = 4.

If the constant rate of the walk is 3 miles per 2 hours, then, m = 3/2 (because the slope is also a constant rate of change).

Then, you have the following linear equation for the relation between the distance traveled by Rocco and the time.

y = 3/2*x + 4

y is the number of miles of the Rocco walking

x is the time (in hours) he takes for the walking

2) Now, based on the previous equation, you have for the table:

3) The relation between the given variables is proportional because a change in x makes that y changes too.

The distance traveled by Rocco is given by the value of y when x = 4. As you can notice on the table, such a distance is 10 miles.

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