Jason boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5.1 radians per minute and has a radius of 30 feet. The center of the Ferris wheel is 35 feet above the ground. Let t represent the number of minutes since the Ferris wheel started rotating. Write an expression (in terms of t) to represent the varying number of radians θ Jason has swept out since the ride started.
   

Write an expression (in terms of t) to represent Jason's height (in feet) above the center of the Ferris wheel.
   

Write an expression (in terms of t) to represent Jason's height (in feet) above the ground.

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the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).