Clare likes riding Ferris wheels. In the table, we have the function F which gives her height F(t) above the ground, in feet, t seconds after starting her descent from the top. Today Clare tried out two new Ferris wheels. The first wheel is twice the height of F and rotates at the same speed. The function g gives Clare's height g(t) , in feet, t seconds after starting her descent from the top. The second wheel is the same height as F but rotates at half the speed. The function h gives Clare's height h(t) , in feet, t seconds after starting her descent from the top. t F(t) g(t) h(t) 0 212     20 181     40 106     60 31     80 0     QUESTION TO ANSWER: Complete as much of the table as you can for the function h, modeling Claire's height on the second Ferris wheel

A ball is dropped from a height of 40 feet. The function f(x)=40(0.6)xf(x)=40(0.6)x gives the height in feet of each bounce, where xx is the bounce number. What is the height of the fourth bounce to the nearest tenth of a foot?   5.2 feet   14.4 feet   40 feet   118.6 feet

The amount of water in a tub increases at a constant rate. After 5 minutes of filling, the amount of water in the tub is 18.75 gallons. After 14.2 minutes of filling, the amount of water in the tub is 33.93 gallons. A) Determine the function f that models the amount of water in the tub with respect to the number of minutes that tub has been filling. Define any variables used. B) Evaluate f (11.2) and explain the meaning in the context of the problem. C) Determine the vertical intercept and explain the meaning in the context of the problem. D) Determine the horizontal intercept and explain the meaning in the context of the problem. E) Assuming the tub has a capacity of 40 gallons, determine the practical domain and range of the function. f) Determine the formula for the inverse function f ^-1. g) Evaluate f^-1 (11.2) and explain the meaning in the context of the problem.

Express the rate of inflation from 1985 to 2015 as a percent correct to two decimal places. (see graph)

juan earns $7 per hour plus $20 per week making picture frames.  write a function g(x) for juan's total earning if he works x hours in one week.

Arthur has decided to start saving for a new computer. His money is currently in a piggy bank at home, modeled by the function s(x) = 85. He was told that he could do the laundry for the house and his allowance would be a(x) = 10(x - 1), where x is measured in weeks. Explain to Arthur how he can create a function that combines the two, and describe any simplification that can be done.

A soccer ball is kicked from the ground with an intitial upward velocity of 90 feet per second. The equation h(t)= -16t2+90t gives the height h of the ball after t seconds.  Give the domain and range of the function.

The value of a family car decreases $600 per year for the first 5 years; after that it depreciates $900 per year. Find the resale value function V(x), where x is the number of years the tamily has owned the car whose original price was $20,000.

Jeff delivers pizza for Papa Jim’s Pizza. Papa Jim’s pays Jeff $6.75 per hour. In addition to this hourly rate, Jeff earns $0.65 for every pizza he delivers.     Write the function that describes Jeff’s wages, where x represents the number of pizzas he delivers during a 8-hour shift.       If Jeff works a 8-hour shift and delivers 67 pizzas during his shift, how much money will he earn?

“e” was very happy as he was going to six flags. He pictured the perfectroller coaster and wondered what the equation of such a perfect roller coaster would be. Atsix flags, he discovered the following equation:h(d) = d3-7d2+8d+1where h (d) represents the vertical height above the ground and d represents the horizontal distance the roller coaster has travelled.Using calculus methods only, sketch the function by stating all the following:o Any asymptotes o The y-intercept o The first and second derivative o All critical points and whether they are the maximum, minimum, or neither. o All inflection points and the concavity to the left and right of the points o Graph Show all your work