For this case we have a direct variation of the form:
Where,
We must find the value of k.
For this, we use the following data:
Therefore, replacing values we have:
Rewriting:
Clearing the value of k we have:
Therefore, the direct variation equation is given by:
Answer:
The quadratic variation equation for the relatonship is:
Answer:
Number of bacteria after 36 hour (A) = 381 (Approx)
Step-by-step explanation:
Given:
Number of bacteria (p) = 2,000
Total time (n) = 36 hours
Decay rate = 4.5 % = 0.045 per hour
Find:
Number of bacteria after 36 hour (A)
Computation:
Number of bacteria after 36 hour (A) = 2,000[1-0.045]³⁶
Number of bacteria after 36 hour (A) = 2,000[0.955]³⁶
Number of bacteria after 36 hour (A) = 2,000[0.190599333]
Number of bacteria after 36 hour (A) = 381.19866
Number of bacteria after 36 hour (A) = 381 (Approx)