Answer: OPTION B
Step-by-step explanation:
The equation of a line that passes through the origin is the following:

Where "m" is the slope of the line.
By definition, Proportional relationships have the following form:

Where "k" is the Constant of proportionality.
Then, as you can notice, if you graph a Proportional relationship you will get a line that passes through the origin.
Therefore, based on the explained above, you can conclude that the option that shows a function that represents a Proportional relationship is the Option B.
Then, this is:

Let's solve your system by substitution.
−3x+y=−2;y=4x
Rewrite equations:
y=4x;−3x+y=−2
Step: Solvey=4xfor y:
y=4x
Step: Substitute4xforyin−3x+y=−2:
−3x+y=−2
−3x+4x=−2
x=−2(Simplify both sides of the equation)
Step: Substitute−2forxiny=4x:
y=4x
y=(4)(−2)
y=−8(Simplify both sides of the equation)
Answer:
x=−2 and y=−8
Answer:
3 hours
Step-by-step explanation:
Recall:
Distance = speed x time
we are given that speed = 18 km/h and distance = 54 km.
hence,
54 = 18 x time (divide both sides by 18 and rearrange)
time = 54/18 = 3 hours