How fast is the area of the spill increasing when the radius of the spill is 18 inches is d) 90pi in ^2/min.
<h3>Area of the spill</h3>
Area of the spill=S=πr²
dS/dr=(πr²)=2πr
Radius change with speed=dr/dt =2.5(m/s)
Area of the spill will increase with speed
dS/dt = dS/dr × dr/dt =2πr ×dr/dt
=2π×18×2.5
=282.74m²/s or 90pi in²/min
Therefore the correct option is D.
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1.) y=(-3/4)x+3
Explanation: To convert this to slope-intercept form or a linear equation, we have to solve for y. To do this, I first subtracted over 3x to isolate 4y. This gave me 4y=-3x+12. Finally, I divided everything by 4 in order to completely isolate y so that it is in linear equation form, giving me my answer, y= -3/4x+3
