How long one can hold their breath can be calculated using the formula y=1.4g where y is the amount of time one can hold their breath in seconds and g is the size of their lungs in cubic centimeters.

Is this a relation or a function? Explain why.

Please Help!!
Thanks!!

What do you think? We will be happy to critique your thinking.

What is a function?

A function is a relation between two sets in which one element of the second set is assigned to each element of the first set.

so there is one and only one value of y for every value of g.

therefore y is a function of g

Thank you for your explanation.

To determine whether the given formula represents a relation or a function, we need to understand their definitions.

A relation is a set of ordered pairs with a specific pattern, whereas a function is a special type of relation where each input value (x) is associated with exactly one output value (y).

In the given formula, y = 1.4g, we have one input value (g) and one output value (y). For any given value of g, we can calculate a corresponding value of y using the formula.

Therefore, this formula represents a function because for each value of g, there is only one corresponding value of y. In other words, the size of someone's lungs determines the specific amount of time they can hold their breath – there is a unique output for each input.

Hence, the formula y = 1.4g represents a function.