A physicist working in a large laboratory has found that light particles traveling in a particle acceleratorincrease velocity in a manner that can be described by the linear function - 4x + 3y = 21, where x is timeand y is velocity in kilometers per hour. Use this function to determine when a certain particle will reach50km/hr.The particle will reach 50km/hr when x =

The particle will reach 50 km/hr when x = 32.25 hoursStep-by-step explanation:A physicist working in a large laboratory has found that light particlestraveling in a particle accelerator  increase velocity in a manner that can be described by the linear function - 4 x + 3 y = 21, wherex is the time in hoursy is the velocity in kilometer per hourWe need to find when a certain particle will reach  50 km/h∵ - 4 x + 3 y = 21 is a linear function∵ x represents the time (number of hours)∵ y represents the velocity in km/h∵ The velocity of a particle will reach 50 km/h- Substitute y by 50 in the function above∴ - 4 x + 3(50) = 21∴ - 4 x + 150 = 21- Subtract 150 from both sides∴ - 4 x = -129- Divide both sides by -4∴ x = 32.25 hoursThe particle will reach 50 km/hr when x = 32.25 hoursLearn more:You can learn more about word problems in brainly.com/question/9533500#LearnwithBrainly