Question

1 point

Answer 1

Answer:

$y = 250x$

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;

$T_n = a + (n - 1)d$

In this case;

$T_n = y$

$x = n$

$a = 250$

$d = 750 - 500 = 500 - 250 = 250$

Substitute these values in the above formula;

$y = 250 + (x - 1) * 250$

Open Bracket

$y = 250 + 250x - 250$

Collect Like Terms

$y = 250x + 250 - 250$

$y = 250x$

Hence; the graph that shows the given description is the graph with equation $y = 250x$