Use the graph to answer the question. Find the rate of change. (1 point) Responses –75 ; The value drops $75 every year. – 75 ; The value drops $75 every year. –150/4 ; The value drops $150 every 4 years. – 150 / 4 ; The value drops $150 every 4 years. –4 ; The value drops $4 every year. – 4 ; The value drops $4 every year. –1 ; The value drops $1 every year. – 1 ; The value drops $1 every year. Skip to navigation

1 answer

To calculate the rate of change from a graph, you need to determine how much the value decreases over a specific time period.

If you have the specific details from the graph, such as the initial value, final value, and the time period over which the change occurred, you can calculate the rate of change using the formula:

\[ \text{Rate of Change} = \frac{\text{Change in Value}}{\text{Change in Time}} \]

For instance, if the value drops from $600 to $300 over 4 years, the calculation would be:

\[ \text{Change in Value} = 300 - 600 = -300 \] \[ \text{Change in Time} = 4 \text{ years} \] \[ \text{Rate of Change} = \frac{-300}{4} = -75 \]

So the value drops $75 every year.

Based on the provided options, if the context supports it, the most fitting response would be:

–75 ; The value drops $75 every year.

If the graph indicates a different value drop over another period, then select accordingly between the other options provided.