Answer:
[tex]y = 250x[/tex]
Step-by-step explanation:
The options are not given; however, the question can still be answered.
Given
Direct Proportion:
In 20 minutes, y = 250 bottles
Required
Determine the graph
In the first 20 minutes, y = 250
In the next 20 minutes, y = 250 + 250 = 500
In the next 20 minutes, y = 500 + 250 = 750
This gives a arithmetic sequence:
250, 500, 750, ........
Next, is to determine the equation of the sequence using;
[tex]T_n = a + (n - 1)d[/tex]
In this case;
[tex]T_n = y[/tex]
[tex]x = n[/tex]
[tex]a = 250[/tex]
[tex]d = 750 - 500 = 500 - 250 = 250[/tex]
Substitute these values in the above formula;
[tex]y = 250 + (x - 1) * 250[/tex]
Open Bracket
[tex]y = 250 + 250x - 250[/tex]
Collect Like Terms
[tex]y = 250x + 250 - 250[/tex]
[tex]y = 250x[/tex]
Hence; the graph that shows the given description is the graph with equation [tex]y = 250x[/tex]
