Question

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Answer 1

Answer:

The slope is $-50$. The slope means that the amount of money in the account is decreasing at a rate of  $$50$ every week.

Step-by-step explanation:

Given coordinates are $(4,2400)\ and\ (12,2000)$

We need to find the slope of the graph, and explain what does slope means for this graph.

The formula for computing slope $(m)$ is  

$m=\frac{y_2-y_1}{x_2-x_1}$

Where $(x_1.y_1)$ and $(x_2,y_2)$ are the point on the line.

Let us plug points $(4,2400)\ and\ (12,2000)$ in the equation

$m=\frac{2000-2400}{12-4}\\ \\m=\frac{-400}{8}\\\\m=-50$

Here, the negative sign of slope $(m)$ represents that the value of the function (budget) is decreasing, with an increase in time (week).

The slope is $-50$. The slope means that the amount of money in the account is decreasing at a rate of  $$50$ every week.