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3 years ago

A physicist working in a large laboratory has found that light particles traveling in a particle accelerator

Mathematics

1 answer:

Tomtit [17]3 years ago

8 0

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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<u>Step-by-step explanation:</u>

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