for the summer reading club, xavier is required to read 2 books every week. what line represents this…

for the summer reading club, xavier is required to read 2 books every week. what line represents this requirement? line a line b line c line d

for the summer reading club, xavier is required to read 2 books every week. what line represents this requirement? line a line b line c line d

Answer

Explanation:

Step1: Calculate the slope

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Since Xavier reads 2 books every week, the slope (m = 2).

Step2: Check the slope of each line

  • For line (a): If (x = 1), (y= 2), slope (m=\frac{2 - 0}{1 - 0}=2)
  • For line (b): If (x = 2), (y = 4), slope (m=\frac{4 - 0}{2 - 0}=2) (but wait, no. Wait, if (x = 1), for line (b), (y = 2) is not correct. Wait, actually, using the rate. The rate of change (slope) for the requirement is 2 books per week. Take a point ((x,y)) on the line. For the requirement (y = 2x). Looking at the graph:
  • For line (a): When (x = 1), (y\approx2) (but actually, if we assume the grid is 1 - unit. Wait, no. Wait, the slope formula. Let's take two points ((x_1,y_1)=(0,0)) (since at 0 weeks, 0 books) and ((x_2,y_2)). For the requirement, if (x = 1), (y = 2). Looking at line (a): at (x = 1), (y = 2) (assuming the vertical axis is books and horizontal is weeks. So line (a) has a slope (m=\frac{2-0}{1 - 0}=2)

Answer:

Line (a)