The number of miles y in a measure varies directly as the number of kilometers x. Write a direct variation equation that can be used to convert kilometers to miles, if 5 kilometers is about 3.1075 miles.

Step-by-step explanation:

I am going to model an equation in the following format:

In which y is the number of miles, given the distance in kilometers x.

a is the slope, that is, how many miles each kilometer has.

5 kilometers is about 3.1075 miles.

So

5 km - 3.1075 miles

1 km - a miles

5a = 3.1075

a = 3.1075/5

a = 0.6215

So

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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