what is the constant of variation, k, of the direct variation, y = kx, through (5, 8)?\n$k =…

what is the constant of variation, k, of the direct variation, y = kx, through (5, 8)?\n$k = -\\frac{8}{5}$\n$k = -\\frac{5}{8}$\n$k = \\frac{5}{8}$\n$k = \\frac{8}{5}$

what is the constant of variation, k, of the direct variation, y = kx, through (5, 8)?\n$k = -\\frac{8}{5}$\n$k = -\\frac{5}{8}$\n$k = \\frac{5}{8}$\n$k = \\frac{8}{5}$

Answer

Explanation:

Step1: Substitute coordinates

Substitute $x = 5$ and $y = 8$ into $y=kx$. We get $8 = k\times5$.

Step2: Solve for k

Divide both sides of the equation $8 = 5k$ by 5. So $k=\frac{8}{5}$.

Answer:

D. $k=\frac{8}{5}$