Find the constant of variation (k) for the inverse variation. Then write an equation for the inverse situation.
y= 5 when x= 7.5

A: k= 15; xy= 1.5

B: k= 37.5; 37.5y= s

C: k= 2.5; y= 2.5/x

D: k= 37.5; xy= 37.5

Respuesta :

answer is D

Step-by-step explanation:

y = k/x


5 =k/7.5


k = 7.5/*5= 37.5


The equation for the inverse situation is xy = 37.5, and the value of k is 37.5 option (D) is correct.

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

We have:

y ∝ 1/x

y = k/x

y= 5 when x= 7.5

5 = k/7.5

k = 37.5

y = 37.5/x

or

xy = 37.5

Thus, the equation for the inverse situation is xy = 37.5, and the value of k is 37.5 option (D) is correct.

Learn more about the proportional here:

brainly.com/question/14263719

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