A physicist working in a large labortory has found out that the light particles traveling in a particle accelerator increase velocity in a manner that can be described by linear function - 4x+3y=15, where x is time and y is velocity in kilometers per hour. use this function to determine when a certain particle will reach 30 km/hr

Question

Mathematics

Derek Rodgers

23 November, 23:03

A physicist working in a large labortory has found out that the light particles traveling in a particle accelerator increase velocity in a manner that can be described by linear function - 4x+3y=15, where x is time and y is velocity in kilometers per hour. use this function to determine when a certain particle will reach 30 km/hr

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Answers (1)

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Gentry · Answer 1

Given:

-4x + 3y = 15

where

x = time, hr

y = velocity, km/h

Write the equation as

3y = 4x + 15

y = (4/3) x + 5

When y = 30 km/h, then

(4/3) x + 5 = 30

(4/3) x = 25

x = 25 * (3/4) = 18.75 h

Answer: 18.75 hours