In Alaska, the temperature outside when you wake up is -4 degrees. The temperature increases by 1 degree for every hour over the next 10 hours. Which of the following graphs best models this temperature?

Answer 1

To create a model for the temperature over the next 10 hours in Alaska, we can start with the initial temperature of -4 degrees. Since the temperature increases by 1 degree for each hour, we can express this as follows:

• Initial Temperature: -4 degrees at hour 0
• Temperature Increase: +1 degree per hour

This can be expressed as:

\[ T(h) = -4 + h \]

where \( T(h) \) is the temperature in degrees after \( h \) hours.

Over the 10 hours:

• At hour 0, \( T(0) = -4 + 0 = -4 \)
• At hour 1, \( T(1) = -4 + 1 = -3 \)
• At hour 2, \( T(2) = -4 + 2 = -2 \)
• ...
• At hour 10, \( T(10) = -4 + 10 = 6 \)

This creates a linear relationship graph starting at -4 degrees and rising to 6 degrees over the course of 10 hours.

When looking for the graph that best models this temperature change, it should:

• Begin at the point (0, -4)
• Have a linear slope (showing a constant increase)
• End at the point (10, 6)

If you provide options for the graphs, I can help you identify which one matches this description.

Answer 2

describe what the graph is supposed to look like

Answer 3

The graph that models the temperature change in Alaska over the next 10 hours should be a straight line due to the linear relationship between time and temperature. Here’s a more detailed description of what the graph should look like:

1. Axes:

   • The x-axis represents time in hours (from 0 to 10).
   • The y-axis represents the temperature in degrees (which will range from -4 to 6 degrees).

2. Starting Point:

   • The graph starts at the point (0, -4), indicating the initial temperature of -4 degrees at hour 0.

3. Ending Point:

   • The graph ends at the point (10, 6), indicating the temperature of 6 degrees after 10 hours.

4. Slope:

   • The graph should have a positive slope since the temperature increases consistently by 1 degree each hour. This slope will be relatively gentle and straight since the increase is uniform.

5. Linearity:

   • The line connecting (0, -4) and (10, 6) should be straight and continuous, reflecting the steady increase in temperature over time.

6. Midpoints:

   • If you were to look for additional reference points along the line, you could include:
     • (1, -3)
     • (5, 1)
     • (10, 6)

Overall, the graph will appear as a straight, upward-sloping line that starts below the y-axis (at -4) and rises to above the x-axis (at 6) over the interval of 10 hours. It visually illustrates a steady increase in temperature with no dips or changes in the rate of increase.

Answer 4

is the top of the straight line point left or right

Answer 5

In the context of the graph you're asking about, the top of the straight line is to the right. Here's the layout clarified:

• The graph starts at the point (0, -4) on the left side of the graph, which represents the initial temperature of -4 degrees at hour 0.
• As the line rises due to the constant increase in temperature, it moves upward and to the right.
• The graph ends at the point (10, 6) on the right side, which represents the temperature after 10 hours.

So, to summarize: the top of the straight line (which corresponds to the highest temperature, 6 degrees) is located at the right end of the graph at the coordinate (10, 6). The overall line slopes upward from left to right.