Question 1155913
the direct variation formula is y = kx
y = 75/8 when x = 5
formula becomes 75/8 = k * 5
divide both sides of this equation by 5 to get:
k = (75/8) / 5
solve for k to get:
k = 75/40 = 1.875
k is the constant of variation.
it stays the same regardless of the value of x, with y being dependent on both the value of k and the value of x.
when x = 2, the formula becomes y = 1.875 * 2
solve for y to get y = 3.75
when x = 2, y = 3.75
that's your solution.