How far in miles is a line of 1,000,000 pennies. Please show chart with 5 instances. Define a variable and write an algebraic expression.
How large is a penny in inches? Multiply that by a million and convert to miles.
1 mile = 63,360 inches
(penny inches * 1,000,000)/63,360 = ?
The rest is up to you.
To determine the distance in miles for a line of 1,000,000 pennies, we need to know the length of a penny.
The diameter of a US penny is approximately 0.75 inches, and the thickness is approximately 0.06 inches. Let's assume the thickness is negligible for simplicity.
To calculate the length of a penny, we can use the formula for the circumference of a circle:
C = πd,
where C is the circumference and d is the diameter.
C = π * 0.75 inches = 2.36 inches.
Now, let's convert inches to miles. There are 12 inches in a foot, and 5,280 feet in a mile. So, to convert inches to miles, we divide the total inches by 12 and then divide the result by 5,280.
To find the length in miles for 1,000,000 pennies, we multiply the length of one penny by the total number of pennies and then convert the result to miles.
Length (inches) = 2.36 inches.
Length (miles) = (2.36 inches * 1,000,000 pennies) / (12 inches/foot * 5280 feet/mile).
Now, let's calculate the length in miles for 5 instances and create a chart:
Instance | Length (miles)
----------------------------
1 | (2.36 inches * 1,000,000 pennies) / (12 inches/foot * 5280 feet/mile)
2 | (2.36 inches * 2,000,000 pennies) / (12 inches/foot * 5280 feet/mile)
3 | (2.36 inches * 3,000,000 pennies) / (12 inches/foot * 5280 feet/mile)
4 | (2.36 inches * 4,000,000 pennies) / (12 inches/foot * 5280 feet/mile)
5 | (2.36 inches * 5,000,000 pennies) / (12 inches/foot * 5280 feet/mile)
Now let's define a variable and write the algebraic expression:
Let's define the variable "n" as the number of instances. The algebraic expression to calculate the length in miles for "n" instances would be:
Length (miles) = (2.36 inches * n * 1,000,000 pennies) / (12 inches/foot * 5280 feet/mile).
You can substitute any value for "n" into this expression to find the length in miles for that particular number of instances.