A group of scientists studied the effect of a chemical on various strains of bacteria. Strain A star | MathCelebrity Forum

A group of scientists studied the effect of a chemical on various strains of bacteria. Strain A star

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A group of scientists studied the effect of a chemical on various strains of bacteria. Strain A started with 6000 cells and decreased at a constant rate of 2000 cells per hour after the chemical was applied. Strain B started with 2000 cells and decreased at a constant rate of 1000 cells per hour after the chemical was applied. When will the strains have the same number of cells? Explain.

Set up strain equations where h is the number of hours since time 0:
  • Strain A: 6000 - 2000h
  • Strain B: 2000 - 1000h
Set them equal to each other
6000 - 2000h = 2000 - 1000h

Using our equation solver, we see that h = 4
 
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