Question

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 −4x + 3y = 21, where x is time and y is velocity in kilometers per hour. Use this function to determine when a certain particle will reach 30km/hr.

Answer 1

Answer:

$17\ \text{hours and}\ 15\text{ minutes}$

Step-by-step explanation:

The function is

$-4x+3y=21$

Where

x = Time in hours

y = Velocity in kilometers per hour

Here y = 30 km/hr

$-4x+3y=21\\\Rightarrow x=\dfrac{3y-21}{4}\\\Rightarrow x=\dfrac{3\times 30-21}{4}\\\Rightarrow x=\dfrac{69}{4}\\\Rightarrow x=17.25\ \text{hours}=17\ \text{hours and}\ 15\text{ minutes}$

The particle will reach 30 km/hr after $17\ \text{hours and}\ 15\text{ minutes}$.