In football, a field goal is worth 3 points. Which function rule relates the number of field goals, f, and the number of points, p?
A. f = 3p
B. p = 3f
C. f = 3 + p
D. p = 3 + f
B. p = 3f
What are the values of the function y = 3x – 4 for x = 0, 1, 2, and 3?
A. −4, −1, 2, 5
B. 0, 3, 6, 9
C. −4, 2, 5, 8
D. 0, 1, 5, 9
A. −4, −1, 2, 5
To find the values of y, we substitute each value of x into the function:
When x = 0, y = 3(0) - 4 = -4
When x = 1, y = 3(1) - 4 = -1
When x = 2, y = 3(2) - 4 = 2
When x = 3, y = 3(3) - 4 = 5
Therefore, the values of the function for x = 0, 1, 2, and 3 are −4, −1, 2, and 5 respectively.
To figure out which function rule relates the number of field goals, f, and the number of points, p, we need to understand the relationship between the two variables.
In this case, we know that a field goal is worth 3 points, which means that for every field goal made, the team earns 3 points.
Since the number of field goals, f, determines the number of points, p, the correct function rule should relate f to p.
Option A says f = 3p. This means that for every field goal, the team earns 3 points. This is the correct function rule based on the given relationship between field goals and points.
Therefore, the answer is A. f = 3p.