Which statement describes the relationship between the line graphs of the equations below? y = −2 x + 4 y = 1/2x + 4 a. The line
graphs are the same line. b. The line graphs are parallel lines. c. The line graphs are perpendicular lines. d. The line graphs intersect, but are not perpendicular.
1 answer:
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Given:
Initial number of bacteria = 3000
With a growth constant (k) of 2.8 per hour.
To find:
The number of hours it will take to be 15,000 bacteria.
Solution:
Let P(t) be the number of bacteria after t number of hours.
The exponential growth model (continuously) is:
Where, is the initial value, k is the growth constant and t is the number of years.
Putting in the above formula, we get
Taking ln on both sides, we get
Therefore, the number of bacteria will be 15,000 after 0.575 hours.