Question

Which real-world problem is most likely to involve irrational numbers?(1 point)Responsesfinding the total cost of filling up a car's tank based on the price per gallonfinding the total cost of filling up a car's tank based on the price per gallonfinding the side length of a square based on the areafinding the side length of a square based on the areafinding the width of a rectangle based on the area and the lengthfinding the width of a rectangle based on the area and the lengthfinding the diameter of a circle based on the radiusfinding the diameter of a circle based on the radius

Answer 1

The real-world problem that is most likely to involve irrational numbers is finding the side length of a square based on the area.

This is because if you have an area \(A\) of a square and you want to find the side length \(s\), you use the formula \(A = s^2\). Therefore, \(s = \sqrt{A}\). If \(A\) is not a perfect square, then the value of \(s\) will be an irrational number. For example, if \(A = 2\), then \(s = \sqrt{2}\), which is an irrational number.

The other options provided either lead to rational values or would not necessarily yield irrational numbers.