To find a mathematical model that relates centimeters (y) to inches (x) based on the given information, we can use the concept of proportionality.
Since we know that 13 inches is approximately the same length as 33 centimeters, we can set up the following proportion:
x inches / y centimeters = 13 inches / 33 centimeters
To solve for the mathematical model, we can cross-multiply and then solve for y:
33x = 13y
Dividing both sides of the equation by 13 gives:
33/13 * x = y
Simplifying the expression on the left side:
2.5385x = y
Therefore, the mathematical model that relates centimeters (y) to inches (x) based on the given information is:
y = 2.5385x
Please note that this is an approximate model, as the given information states that 13 inches is "approximately" the same length as 33 centimeters.