A mother catches their child watching an old-school late-night horror movie on TV

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A mother catches their child watching an old-school late-night horror movie on

TV. It's a giant spider that attacks the town! The child wakes up screaming

that night, afraid that the spider is coming for them. Luckily, the mother was

a math major and can reassure the child!

Assume from previous studies that we know that spiders need 26 ml of

oxygen, per second, per cubic centimeters of volume. Also assume that a spider

can absorb oxygen at a rate of 26.4 ml per square inch of surface area per second.

The movie said that the spider was 100 feet across!

Also assume the spider is roughly symmetrical. Then the surface area and

volume of the spider is

S.A. = 4r2

V = 4

3r3

 

1.1 Converting to Metric

Since one of the rates we are given is in inches, we'll want to convert this

spider's measurements to metric units. Convert 26.4 ml per square inch to ml

per square centimeters.

 

1.2 Surface Area and Volume

Calculate the surface area and volume of the spider in cm. Make sure

to convert and label your units as necessary.

 

1.3 Could it Survive?

Using the provided information in the second paragraph, could the 100 foot

long spherical spider even exist? Why or why not? Use numbers to support

your conclusion.

 

2. Inflation

Inflation is the decrease in the purchase power of your dollar. Every year, one dollar buys a little bit less. You can get a little less candy, a little less food, and a little less v-bucks for one dollar.

From 1913 to 2013, the average inflation rate is estimated to be around 3%.

 

2.1 Writing Some Numbers

If your dollar decreases by 3% each year, how many cents will your current $ be worth one year from now? Two years from now? Three years from now? If your dollar was worth 3% more last year, how much was your dollar worth one year ago? Two years ago? Three years ago? hint: you should be increasing by 3% each year.

 

2.3 Applying Your Sequences

The current median wage in the U.S. is around $47,000 per year. How many dollars a year would that be 70 years ago?

U.S. debt was around $260 billion in 1950. How much money would that be in today's dollars? How does that compare to our current debt?

 

3. Numbers with Different Bases

 

3.1 Hexadecimals and Color

Color is sometimes expressed as hexadecimal values in technology. Why do we use hexadecimals, though? Do some research online to nd out why a numeral system of 16 numbers is used to express color. Why does the hexadecimal 0000 make green? What color is the hexadecimal 00?

 

3.2 Binary

We've heard computers use binary as their numerical system. Why? Do some research online to nd out why only two numbers, 1 and 0, are used to do the complicated things we do today.