If the arc length function for a curve y = f(x) is given by s(x) = ∫(x⁵ - 10) dt from 0 to x, and f has a y-intercept of 7, find an equation for f.
a) y = x⁶ - 10x + 17
b) y = x⁶ + 10x + 7
c) y = x⁵ - 10x + 7
d) y = x⁵ + 10x - 7