The equation 7^2=a^3 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?

The period of Y increases by a factor of with respect to the period of X

Step-by-step explanation:

The equation shows the relationship between the orbital period of a planet, T, and the average distance from the planet to the sun, A, in astronomical units, AU. If planet Y is k times the average distance from the sun as planet X, at what factor does the orbital period increase?

For the planet Y:

For planet X:

To know the factor of aumeto we compared with

We know that the distance "a" from planet Y is k times larger than the distance from planet X to the sun. So:

Finally the period of Y increases by a factor of with respect to the period of X

i think 1: 2

step-by-step explanation:

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.