Question

PLEASE HELP! 48 POINTS!




show your work

Answer 1

Answer:

a.  4y =12x  the constant of variation is 3

Step-by-step explanation:

The equation for direct variation is y=kx

a.  4y =12x

 Divide each side by 4

4y/4 = 12x/4

 y = 3x

This is direct variation and the constant is 3

Equations b ,c, d  all have a constant added which make them something other than a direct variation

Answer 2

Answer:

A Constant of variation is 3

Step-by-step explanation:

Remark

Direct variations have an equation that looks like y = kx There is NO y intercept, or the y intercept = 0. If you solve for the slope of choices B C and D you get a y intercept that is not 0. For example Take C

• 4y = 5x + 3               Divide both sides by 4 (the coefficient of y)
• 4y/4 = 5x/4 + 3/4     Do the division
• y = 1.25 x + 0.75.
• 0.75 is not zero. This is not a direct variation. The same procedure can be done to B and D with the same results and the same comment.

Solution

Your only possible answer is A

The constant of variation =

• 4y = 12 x                Divide by 4
• 4y/4 = 12x/4           Do the division
• y = 3x                     The coefficient (3) of x is the constant of variation