Bellwork

1) C 2) A3) B

A few things to discuss…

Increasing vs. Decreasing

Linear vs. Exponential

Asymptotes

Think about how quickly something would increase/decrease

Questions on Assignment?

You should have the table all the way filled out and all the graphs completed!

Matching Activity

-Cut out equations and graphs

-Every word problem will have a graph and equation

-Wait to glue them down until we’ve had the chance to discuss

Let’s check!

Starting with 120 infected people, the number of zombie’s doubles every hour.

A cup of coffee is left sitting on the kitchen table where the temperature of the surrounding air is 70 degrees Fahrenheit. We measure its temperature to be 195 degrees Fahrenheit. After one minute, we measure its temperature again, getting a second temperature of 94 degrees Fahrenheit.

An investment of $120 increases by 10% each year.

The amount of gas in your car’s 16-gallon gas tank decreases by about 1 gallon every 25 miles.

You drink a beverage with 195 mg of caffeine. Each, hour, the caffeine in your system decreases by about 12%.

You lend $120 dollars to a friend and charge $1 interest each day until they pay you back.

You drink a beverage with 195 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%.

Number of Hours (x)

Mill

igra

ms

of

Caff

ein

e (

y)>Assuming you don’t have any more

caffeine, how much caffeine will be in your system after 15 hours?

This means x=15…

It looks like y is close to 30…

Let’s plug it in and see if we can figure it out more precisely…

After 15 hours,

you will still have 28.66 mg

of caffeine in your system

You drink a beverage with 195 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%.

Number of Hours (x)

Mill

igra

ms

of

Caff

ein

e (

y)>You get caffeine headaches when

you are down to having only 10mg of caffeine in your system. How long until you get a caffeine headache?

This means y=10…

It looks like x is close to 25

Could we plug in 10 for y and solve for x to get a more precise answer?

We would get 10=195(0.88)x and we don’t know how to solve this yet.

You will get a caffeine headache after about 25 hours

Now you try!