Answer and Step-by-step explanation:
The equation that represents the relationship between variables n and k, where for each increase of 1 in the value of n, the value of k increases by 80%, can be written as:
\[ k = 135 + (0.8 \cdot n) \]
In this equation, 135 represents the initial value of k when n is 1. The term (0.8 * n) represents the increase in k for each increase of 1 in the value of n. By multiplying the value of n by 0.8, we account for the 80% increase in k.
So, for any given value of n, we can use this equation to calculate the corresponding value of k in the relationship described.