Question

introduction to slope - item 32004
use the two graphs to help complete the statements below.
graph a and graph b are shown with x-axis as time (days) and y-axis as lawns mowed. both graphs have a line starting at (0,0) and going up.
graph a:
unit rate = (change in lawns mowed)/(change in time) = blank lawns per day
graph b:
slope = (change in y)/(change in x) = blank

Explanation:

Step1: Analyze Graph A

To find the unit rate for Graph A, we look at the change in lawns mowed and change in time. From the graph, when time (x) is 5 days, lawns mowed (y) is 25. So change in y is 25, change in x is 5.
Unit rate = $\frac{25}{5}$ = 5.

Step2: Analyze Graph B (assuming similar logic, let's check a point. For example, when x=5, y=25? Wait, no, wait the graph B: let's see, maybe when x=6, y=30? Wait no, the grid: each square is 5? Wait no, Graph A: at x=5, y=25. So slope is 25/5=5. For Graph B, let's take a point. Let's say when x=5, y=25? Wait no, maybe the graphs are similar? Wait, no, maybe I misread. Wait, Graph A: x-axis is time (days), y-axis is lawns mowed. Let's take two points: (0,0) and (5,25). So change in y is 25 - 0 =25, change in x is 5 - 0=5. So unit rate is 25/5=5. For Graph B, let's take (0,0) and (5,25)? Wait no, maybe (6,30)? Wait, 30/6=5. So slope for Graph B is also 5? Wait, maybe the graphs are the same? Wait, the problem shows Graph A and Graph B. Let's check Graph A: when x=5, y=25. So 25/5=5. Graph B: let's take x=5, y=25? Or x=6, y=30? 30/6=5. So slope is 5.

Answer:

Graph A: 5
Graph B: 5