Question

cost ($) is on the y - axis, grapes (lb) is on the x - axis. the graph is a line passing through (0,0), (1, 4.5) (since the point at x = 1 has y - value 4.5, which is 9/2), and (2,9). the multiple - choice options are: a) \\(\frac{11}{2}\\) b) \\(\frac{9}{2}\\) c) \\(\frac{2}{9}\\) d) \\(\frac{2}{11}\\)

Explanation:

Step1: Identify points on the line

The line passes through $(1, 4.5)$ and $(2, 9)$.

Step2: Calculate the slope (unit rate)

Slope formula: $\text{Slope} = \frac{y_2 - y_1}{x_2 - x_1}$
$\text{Slope} = \frac{9 - 4.5}{2 - 1} = \frac{4.5}{1} = \frac{9}{2}$

Answer:

B) $\frac{9}{2}$