Question

10. The graph shows the amount in Harold's savings account over a certain number of weeks. Find the rat of change and record it in the grid. H Amount In Savings

Answer 1

From the given graph, let's find the rate of change.

The rate of change can also be said to be the slope of the graph.

To find the rate of change, apply the slope formula:

`m=(y2-y1)/(x2-x1)`

Take the points on the graph:

(x1, y1) ==> (4, 21)

(x2, y2) ==> (2, 42)

Thus, we have:

`\begin{gathered} m=(42-21)/(2-4) \\ \\ m=(21)/(-2) \\ \\ m=-(21)/(2) \\ \\ m=-10.5 \end{gathered}`

Therefore, the rate of change is -10.5

This means the amount in Harold's savings account decreases by $10.5 each week.

ANSWER:

Rate of change = -10.5