Answer:
Graph 4
Step-by-step explanation:
We are given four graph of different rate. We need to choose graph whose rate is 0.5
Rate of graph is equal to slope.
Slope is change in y over change in x.
[tex]\text{Slope }=\dfrac{Rise}{Run}[/tex]
Here, slope is 0.5. It is positive value.
So, graph will start from bottom left to right top.
Out of four graph only two graph which has same property.
Graph 3 and Graph 4.
Now we find the rate of each graph.
Graph 3:
First we take two point from graph.
(0,-1) and (1,1)
[tex]Slope=\dfrac{1+1}{1-0}=\dfrac{2}{1}[/tex]
Thus, Rate is 2
Graph 4:
Two points are (0,-1) and (2,0)
[tex]Slope=\dfrac{0+1}{2-0}=\dfrac{1}{2}=0.5[/tex]
Thus, rate is 0.5
Hence, Graph 4 is correct whose rate 0.5
