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AMDM. 4 th 6 weeks Review. Functions. You plan on working out over spring break and your workout consists of walking to the gym which burns 200 calories and then riding a stationary bike. Each minute on the bike burns 50 calories. Make a table modeling this story. Functions.

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AMDM

4th 6 weeks Review


Functions
Functions

  • You plan on working out over spring break and your workout consists of walking to the gym which burns 200 calories and then riding a stationary bike. Each minute on the bike burns 50 calories.

  • Make a table modeling this story.


Functions1
Functions

LINEAR!!!! Snap.

Notice that the differences are the same!!!

What does this tell us????


Functions2
Functions

The same difference is also called a constant rate of change.

This terminology is AKA ?

Slope

Y=mx+b

Y=50x+ 200

This is the explicit

linear function for this

Problem.


Functions3
functions

  • y=50x+200

  • How many calories will be burned in 35 minutes?

  • How long will it take to burn 1500 calories?


Functions4
functions

  • y=50x+200

  • The above is the explicit function.

  • What does the recursive rule look like?

Where,


Functions5
functions

  • Bouncing ball. 60% rebound rate.

  • Make a table for each bounce if dropped from an initial height of 15 ft.

Notice the differences

Are not the same so it

Cannot be linear!!!


Functions6
Functions

  • Ratios are the same at .6 which should make sense because the rebound rate was 60%.

  • So write the explicit function. (These have the y and x in them)

A is the initial amount. B is the ratio.


Functions7
functions

  • What would be the height of the 6th bounce if dropped from an initial height of 36 meters?


Functions8
Functions

  • The recursive rule look like this:

Where P0=15


Functions9
Functions

  • You deposit $3500 into a savings account.

  • The account pays 6.2% each year.

  • If you do not make another contribution to the account. How much will the account be in 15 years?

  • 20 years?

  • What if you deposit another 500 each year?

  • How will the table change?


Functions10
Functions

  • Ferris Wheel Questions.

  • Steps.

  • Draw the circle. Label the dimensions.

  • Find the circumference.

  • How long does it take to make a complete revolution.

  • Take your time and sketch each triangle.


Beijing great wheel
Beijing Great Wheel

198 m diameter.

Total height of 208 m.

15.55 meters per minutes.

Find height at 8/19/35 minutes.

What is the sinusoidal equation?

What is the period?

What is the amplitude?


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