Question

PLZ HELP ASAP!!!

Which graph could be used to show the situation described?
The temperature increases by 4 degrees every hour.
Garph 1,2,3, or 4?

Answer 1

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.

`\text{Slope}=(y_2-y_1)/(x_2-x_1)`, where,

`y_2-y_1` = Difference between two y-coordinates.

`x_2-x_1` = 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.

`\text{Slope of 1st graph}=(35-5)/(5-0)`

`\text{Slope of 1st graph}=(30)/(5)`

`\text{Slope of 1st graph}=6`

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.

`\text{Slope of 2nd graph}=(27-3)/(6-0)`

`\text{Slope of 2nd graph}=(24)/(6)`

`\text{Slope of 2nd graph}=4`

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.