We are told that a marathon is 26.2 miles long. There is a water station every 1 and 3/100 miles along the race route. We are supposed to write an expression that represents the total number of water stations.
Let x be total number of water stations.
First of all we will convert our mixed fraction into improper fraction.
The total number of water station in the marathon of 26.2 miles will be,
Therefore, will represent the total number of water stations.
As x approaches either positive or negative infinity, y will approach positive infinity. This is because x^2 will grow large much quicker than b*x, so it has more importance. So when considering the limit, we can imagine that the equation looks like this: y = x^2 This equation will go to infinity for x approaching both negative and positive infinity.