Suppose a population of insects increases according to the law of exponential growth. If there are...

  

 

Transcribed Image Text:

Suppose a population of insects increases according to the law of exponential growth. If there are 140 insects after the third day of the experiment and 420 after the seventh day, use this information to answer the following questions. a. Use the exponential model y = Cekt and write a system of two equations that will model the experiment. b. Solve one of the equations from part [a] to find an expression for C. Substitute this expression into the second equation and find the value for k. c. Write a growth model for the insect population. Use this model to find the initial insect population. d. Based on the equation from part [c], approximately how many insects will be present in 30 days? Suppose a population of insects increases according to the law of exponential growth. If there are 140 insects after the third day of the experiment and 420 after the seventh day, use this information to answer the following questions. a. Use the exponential model y = Cekt and write a system of two equations that will model the experiment. b. Solve one of the equations from part [a] to find an expression for C. Substitute this expression into the second equation and find the value for k. c. Write a growth model for the insect population. Use this model to find the initial insect population. d. Based on the equation from part [c], approximately how many insects will be present in 30 days?