Question

This graph shows the temperature on a winter night over time.

How many °F does the temperature decrease by every 1 hr?

Enter your answer in the box.

Answer 1

Greetings!

Answer:

Decreases by 5

Explanation:

To find the gradient ( or slope ), this finds out how the graph is decreasing or increasing, this can be done by using the following formula:

`(y_(2) - y_(1) )/(x_(2) - x_(1) )`

Where x1 and y1 are in the same coordinate set, plug the values in:

`(45 - 20)/(0 - 5)`

`(25)/(-5)`

= -5

So every hour it decreases by 5.

Hope this helps!

Answer 2

The temperature decreases by 5°F every 1 hour.

Explanation:

Let x = Time (h) and y = Temperature (°F). The rate at which the temperature decreases every hour is represented by the slope of the line, that is, m = Δy/Δx.

We have the following ordered-pairs:

• (0 h, 45 °F)

• (5 h; 20 °F)

With these values, we can calculate the slope of the line.

m = Δy/Δx = (20 °F - 45°F) / (5 h - 0 h) = -5 °F/h

The temperature decreases by 5°F every 1 hour.