Question

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

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