The function f is defined by f(x) = kx - 4. If the graph of f passes through the point (3, 11), what is the value of k?

If the graph passes through $(3, 11)$, then $f(3) = 11$. Substitute into the rule: $k(3) - 4 = 11$. Add 4 to both sides to get $3k = 15$, then divide by 3 to get $k = 5$, choice B. Check: $f(3) = 5(3) - 4 = 11$. Choice A (3) reuses the $x$-value instead of solving. Choice C ($\frac{25}{3}$) does not satisfy the equation, since $\frac{25}{3}(3) - 4 = 21$. Choice D ($\frac{7}{3}$) comes from subtracting 4 instead of adding it, getting $3k = 7$.