Algebra I: Final Exam Part II
2. A boat travels 33 miles downstream in 4 hours. The return trip takes the boat 7 hours. Find the speed of the boat in still water.
5. A hawk flying at a height of 60 feet spots a rabbit on the ground. If the hawk dives at a speed of 55 feet per second, how long will it take the hawk to reach the rabbit?
(Hint: A model for the vertical motion of a projected object is given by the equation h = -16t2 + vt + s, where h is the height in feet, t is the time in seconds, v is the initial velocity in feet per second, and s is the starting height of the object in feet. Use this equation to find the time taken by the hawk to reach the rabbit.)
15. The city bike rental program is analyzing their growth in member rates. The number of regular members is growing by 4.7% per month. The number of VIP members is growing by 65% per year. Write a function to represent the number of regular members after t years. Then, write an equivalent function that represents the regular members with only 1 compounding per year. What is the effective yearly rate of growth of regular members? Determine the effective rate of growth per year for regular members. Which type of member is growing at a faster rate?
a. What is the effective YEARLY rate of the growth for regular members?
b. Which type of member is growing at a faster rate?
20. Jack has 20 more stamps than Dylan has. Together they have 46 stamps. Find the number of stamps each has.
