I need help with these two questions solving variation problems. I'm having a hard time figuring it out. 12. Solve each variation problem.a. The weight an object exerts on a scale varies directly as the mass of an object. If a bowling ball has amass of 6 kg, the scale reads 54. If another object has a mass of 8 kg, what would the scale read?b. The intensity I of light is inversely proportional to the square of the distance d from the light source.Suppose the intensity of the light 4 meters from a light source is 40 lumens. (A lumen is the amount oflight that falls on a 1-square foot area that is 1 foot from a candle.) Find the constant of variation anddetermine the intensity of the same light 6 meters from its source.

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Answered: Tight that falls on a -square TOot ared…

Math

Algebra

Tight that falls on a -square TOot ared the

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter12: Quadratic Functions

Section12.8: Joint And Combined Variation

Problem 11P

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I need help with these two questions solving variation problems. I'm having a hard time figuring it out.

12. Solve each variation problem.
a. The weight an object exerts on a scale varies directly as the mass of an object. If a bowling ball has a
mass of 6 kg, the scale reads 54. If another object has a mass of 8 kg, what would the scale read?
b. The intensity I of light is inversely proportional to the square of the distance d from the light source.
Suppose the intensity of the light 4 meters from a light source is 40 lumens. (A lumen is the amount of
light that falls on a 1-square foot area that is 1 foot from a candle.) Find the constant of variation and
determine the intensity of the same light 6 meters from its source.

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