Question

Michael says that the difference between Dani’s and Raj’s ages is always the same, so Raj’s age is proportional to Dani’s age. Is Michael correct? Explain.

Answer 1

If the difference between Dani’s and Raj’s ages is always the same, then their ages are proportional.

Step-by-step explanation:

Michael is correct. If the difference between Dani’s and Raj’s ages is always the same, then their ages are proportional.

To understand this, let's assume Dani's age is D years and Raj's age is R years. The difference between their ages is given by D-R. If this difference remains constant for any given ages, then it means that D-R is always the same.

So, we can say that Raj’s age (R) is proportional to Dani’s age (D) with a constant proportionality factor of -1 (as D-R is always the same).