contestada

A group of scientists studied the effect of a chemical on various strains of bacteria. Strain A started with 9000 cells and decreased at a constant rate of 3000 cells per hour after the chemical was applied. Strain B started with 4000 cells and decreased at a constant rate of 2000 cells per hour after the chemical was applied. When will the strains have the same number of​ cells? Explain

Respuesta :

LammettHash
The number of cells of strain A follow the linear model [tex]C_A=9000-3000t[/tex], where [tex]C_A[/tex] denotes the number of cells of that strain and [tex]t[/tex] is time in hours. Meanwhile, strain B follows [tex]C_B=4000-2000t[/tex]. The time [tex]t[/tex] when both strains have the same number of cells is the intersection of these two lines, or the solution to

[tex]9000-3000t=4000-2000t[/tex]

You have

[tex]5000=1000t\implies t=5[/tex]

so after 5 hours, both strains should have the same number of cells.

Otras preguntas