Question

The given system of equations relates the number of years Kayla has been a musician, \[k\], to the number of years Courtney has been a musician, \[c\]. In the system, what does the number \[28\] represent? Choose 1 answer:

A) The sum of years both Kayla and Courtney have been musicians.

B) Kayla's current age.

C) Courtney's current age.

D) The age difference between Kayla and Courtney.

Answer 1

The number 28 represents the age difference between Kayla and Courtney.

Step-by-step explanation:

In the given system of equations, the number 28 represents the age difference between Kayla and Courtney.

To determine this, we need to analyze the system of equations. Since the system relates the number of years Kayla has been a musician (k) to the number of years Courtney has been a musician (c), we can write two equations:

k = c + 28 and c = k - 28

From the first equation, we see that Kayla's age is equal to Courtney's age plus 28 years. This implies that the number 28 represents the age difference between Kayla and Courtney.