Solve the problem.The following data represents the Olympic winning time in Women's 100 m Freestyle.
a) Let f(t) represent the winning time in the Women's 100 m Freestyle at t years since 1993. Perform the first three steps of the four-step modeling process to find an equation for f.b) Find the slope of f. What does it represent in this situation?
What will be an ideal response?
| a) | f(t) = -0.13x + 57.09 Answers may vary. |
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Evaluate the integral. 
A. 
- 
ln 
+ C
B. sin-1 
+ C
C. 
+ 
sin-1 
+ C
D. 
+ 
sin-1 
+ C
Provide an appropriate response.An open box is formed by cutting a square piece out of each corner of a 12-inch by 10-inch piece of metal. If each side of the squares cut out is x inches long, the volume of the box is given by 
This problem only makes sense when this volume is positive. Find the values of x for which the volume is positive.
Fill in the blank(s) with the appropriate word(s).
Solve the problem.The logistic growth function f(t) = 
describes the population of a species of butterflies 
after they are introduced to a non-threatening habitat. What is the limiting size of the butterfly population that the habitat will sustain?
A. 360 butterflies B. 40 butterflies C. 720 butterflies D. 8 butterflies
Graph the function.f(x) = 5(x - 1) - 2.
A. 
B. 
C. 
D. 