The particle will reach 50 km/hr when x = 32.25 hours
Step-by-step explanation:
A physicist working in a large laboratory has found that light particles
traveling in a particle accelerator increase velocity in a manner that
can be described by the linear function - 4 x + 3 y = 21, where
- x is the time in hours
- y is the velocity in kilometer per hour
We 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 hours
The particle will reach 50 km/hr when x = 32.25 hours
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