Question

Based on the information given, write a linear equation to model the price of one round of golf, p, in terms of n, the number of $0.25 increases. How do you know this relationship is linear?

a) p = 5 - 0.25n
b) p = 5 + 0.25n
c) p = 5n
d) p = 5 - n
Based on the data, write a linear equation to model the number of rounds of golf sold in a week, s, in terms of n, the number of $0.25 increases. How do you know this relationship is linear?

Answer 1

The linear equation to model the price of one round of golf, p, in terms of n is p = 5 - 0.25n. The linear equation to model the number of rounds of golf sold in a week, s, in terms of n is s = 5 - 0.25n.

Step-by-step explanation:

To write a linear equation to model the price of one round of golf, p, in terms of n, the number of $0.25 increases, we need to analyze the given options and determine which one is linear. The correct equation is p = 5 - 0.25n (option a). We know this relationship is linear because the equation is in the form y = mx + b, where m (slope) is -0.25 and b (y-intercept) is 5, which indicates a constant rate of change.

For the number of rounds of golf sold in a week, s, in terms of n, the number of $0.25 increases, the linear equation is determined by analyzing the given options. The correct equation is s = 5 - 0.25n (option a). We know this relationship is linear for the same reasons as the previous equation.