The equation shows the relationship between a planet’s orbital period, t, and the planet’s mean distance from the sun, a, in astronomical units, au. if planet y is k times the mean distance from the sun as planet x, by what factor is the orbital period increased?

Answer choice D: K^3/2

If planet Y is k times the mean distance from the sun as planet X,

mean distance from the sun is A

k times the mean distance, we multiply A^3 with k^3

Multiply both sides by k^3

we need to get whole square on the left side to make the equivalent equation

So we replace k^3 by fractional exponent

Hence factor is

45

step-by-step explanation: