Question

The efficiency e of a gasoline engine as a function of its compression ratio r is given by e =1− r1−γ , where γ is a constant.
Find γ for e = 0.55 and r = 7.5.

Answer 1

Online "^" is used to indicate an exponent, e.g., x^2 = x squared.

I assume r1 = r^1 = r to the first power = r.

e = 1 - r - y

Add y and subtract e from both sides.

y = 1 - r - e

Insert values and solve.