The function Y2 is defined as Y1 + k for some real number k. Based upon the given information about Y1 and Y2, find k. 
A. 12
B. -25
C. 28
D. -15
Answer: D
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A certain animal population exhibits logistic population growth. The carrying capacity for this population is 500 individuals, and the r value for this type of animal is 0.07.
A. Write the equation of change for logistic growth for this population.B: Make a graph of 
versusN. Use population sizes up to 600.
C: For what values of N would the population be expected to increase?D: For what values of N would the population be expected to decrease?
What will be an ideal response?
Solve the problem. First use front end rounding. Then find the exact answer.The number of vacationers at the lake was 5450 on Friday. If this was 4375 more than on Thursday, how many people were at the lake on Thursday?
A. Estimate: 9900 vacationers; exact: 9825 vacationers B. Estimate: 1000 vacationers; exact: 1075 vacationers C. Estimate: 1100 vacationers; exact: 1070 vacationers D. Estimate: 9000 vacationers; exact: 9830 vacationers
Mentally estimate the number that should go in the blank to make the statement true.6 is 
% of 23.5.
A. About 10 B. About 50 C. About 25 D. About 75
Provide an appropriate response.Find all of the higher-order derivatives of x(t) = 
x3 - 
x2 - 4x. Use your graphing calculator to graph x(t) and x'(t) on the same axes. Verify that when x(t) is increasing (sloping upward), the value of x'(t) is positive. Repeat this for x'(t) and x''(t) and for x''(t) and x'''(t).
What will be an ideal response?