Plz ! which graph could be used to show the situation described? the temperature increases by 4 degrees every hour. garph 1,2,3, or 4?

Graph represented by 2nd option is the correct choice.

Step-by-step explanation:

Please find the attachment.

We have been provided a diagram and we asked to choose the graph that represents the increase in temperature by 4 degrees every hour.

Since temperature is increasing 4 degrees every hour, so the graph representing increase in temperature will have a line with a positive slope of 4.

We can see that the graphs represented in option 3 and 4 have a negative slope, so these options are not right choices.

Now let us find slope of lines represented in option 1 and 2 using slope formula.

, where,

= Difference between two y-coordinates.

= Difference between corresponding x-coordinates of same y-coordinates.

Now let us substitute coordinates of points (0,5) and (5,35) to find slope of 1st graph.

Since the slope of line represented in 1st graph is 6. This means that temperature is increasing 4 degrees per hour, therefore, 1st option is not a correct choice.

Let us substitute coordinates of points (0,3) and (6,27) to find slope of 2nd graph.

Since the slope of line represented in 2nd graph is 4, which represents that temperature is increasing 4 degrees per hour, therefore, 2nd option is the correct choice.