Since its the beginning the u. s mint has produced over 288.7 billion pennies.
a) what if we lined these pennies up? how long would the line be?
b) the mint currently makes about 30 million pennies a day. how many is this per second? how many is this per year

A penny/coin is 0.75 inches in diameter.

A.

When 288.7 billion pennies are lined up they will form = 216.525 billion inches.

If you want to convert it to miles, this is 3417376.89 miles as 1 billion inch = 15782.82 miles.

B.

The mint currently makes about 30 million pennies a day.

Now we have 3600 seconds in an hour.

So, we have seconds in 1 day.

So, 30 million pennies are made in 86400 seconds.

In 1 second, =347.22 rounded to 347 pennies per second.

Now assuming 365 days in a year, this becomes

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.