Final answer:
The linear equation to model the price of one round of golf in terms of the number of $0.25 increases is p = 5 - 0.25n. This relationship is linear because the equation follows the general form of y = mx + b, where x represents the independent variable (n in this case), m represents the slope, and b represents the y-intercept.
Step-by-step explanation:
The relationship between the price of one round of golf, p, and the number of $0.25 increases, n, can be represented by a linear equation.
Since the mini-golf course charges $5 per person to play a round of golf, we can start with the equation:
p = 5
Next, we consider the $0.25 increases. Each $0.25 increase will decrease the price of one round of golf by $0.25.
Therefore, for every increase of n, the price of one round of golf will decrease by 0.25n:
p = 5 - 0.25n
This equation represents a linear relationship between the price of one round of golf and the number of $0.25 increases.
It follows the general form of y = mx + b, where x represents the independent variable (n in this case), m represents the slope (-0.25 in this case), and b represents the y-intercept (5 in this case).
The slope indicates that for each $0.25 increase, the price of one round of golf decreases by $0.25.