Question

1:How much does a million dollars weigh in one dollar bills, ten dollar bills, twenty dollar bills, fifty dollar bills, and hundred dollar bills? Provide your answers in pounds (you may need to convert from grams to pounds). Be sure to represent your data in a table and ensure that your calculations are correct.

2:What is the relationship between the denomination of United States currency and the weight of $1,000,000? For example, is there a difference in the weight of $1,000,000 made up of one dollar bills and ten dollar bills? Represent any functional relationships algebraically. Describe the values that make sense for the domain.

Answer 1

Please read answers to part 1 and 2 below.

Explanation:

Part 1:

Weight of any american bill = 1 gram

1 gram = 0.00220462

Denomination Amount of banknotes Total weight (lb)

One dollar 1'000,000 2,204.62

Ten dollar 100,000 220.46

Twenty dollar 50,000 110.23

Fifty dollar 20,000 44.09

One hundred 10,000 22.05

Part 2:

x = Number of banknotes

y = Total weight in pounds (lb)

We can write this linear equation to calculate y:

y = 0.00220462x

y = 0.0022x (rounding)