Question

PLEASE HELP! 48 POINTS!




show your work

Answer 1

A Constant of variation is 3

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

Answer 2

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

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