Suppose that you want to model the height of a rider on a ferris wheel as a function of time, t, in minutes. if the rider is at the bottom of the ferris wheel at t = 0 minutes, which of the following would be easiest to use?

the cosine function unreflected
the sine function unreflected
the cosine function reflected about its midline
the sine function reflected about its midline

The correct answer is:

the sine function unreflected

Explanation:

The sine function begins at (0, 0). It then travels up, then back down. A ferris wheel will follow a similar path to this; it begins at the bottom, goes up to the top, and then goes back down.

hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.