Answer:
- 
Step-by-step explanation:
=
( cross- multiply )
6x = 5y ( divide both sides by 6 )
x =
y
Then
← substitute x =
y into the expression
= 
= 
= 
=
× - 
= - 
Yes! This is because -150/10 can be simplified to be -15, which is a rational number.
The word “rational” sounds like another math word you’ve heard of before. Do you know what it is?
Well, it’s “ratio”!! Ratios can be seen in the forms x:y and x/y.
ANY RATIONAL NUMBER HAS THE ABILITY TO BE WRITTEN AS A RATIO!! This will completely exclude numbers with super long decimal points (ex: 1.2345678809928374737272828...)
This number also meets the requirements of being an integer. An integer is any whole number (this excludes decimals and fractions)
I know it’s written as a fraction. However, the fraction could be simplified, making it -15, which means this is both a rational number and an integer!!
Given:
y varies directly with x
y = 8 when x = -6
what is the value of y when x = -2?
y = kx
we need to get the constant of variation.
8 = k(-6)
8/-6 = k
4/-3 = k or - 1 1/3
y = -4/3 (-2)
y = (-4*-2) / 3
y = 8 / 3
y = 2 2/3 OR 2.67
The correct answer is Choice B. y = -1.33x ; 2.67