How is finding the unit rate helpful before graphing a proportional relationship

1 answer:

4 0

One example, take the conversion fact that there are 5 miles for every 8 km.

Now if we want to work out how many kilometres in 6 miles, the conversion above is not going to help straight away.

We first need to find how many kilometres in ONE mile [which is the unit rate]

5 miles = 8 kilometres
1 mile = 8/5 kilometres
1 mile = 1.6 kilometres

Once we know the unit rate, we can then work out the number of kilometres for any number of miles.

For example:
6 miles = 6×1.6 = 9.6 kilometres
25.5 miles = 25.5 × 1.6 = 40.8 kilometres

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Find the distance between the pair of points. Round your answer to the nearest hundredth. (-8,19) and (3,5)

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<h3>The answer is 17.80 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-8,19) and (3,5)

The distance between them is

$d = \sqrt{ ({ - 8 - 3})^{2} + ({1 9 - 5})^{2} } \\ = \sqrt{( { - 11})^{2} + {14}^{2} } \\ = \sqrt{121 + 196} \\ = \sqrt{317} \: \: \: \: \: \: \: \: \: \: \: \: \\ = 17.804493...$