Question

9 of 189 of 18 ItemsQuestionIn the table, x represents minutes and y represents the altitude of an airplane.Minutes, xAltitude in feet, y1515,0002017,5002520,0003022,500Fill in the blanks based on the information in the table. NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature twice per question.(3 points)Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.The slope of the line is Response area because, as the minutes Response area, the altitude Response area.Skip to navigation

Answer 1

To analyze the information provided in the table and fill in the blanks, we can determine how the altitude of the airplane changes with time (in minutes). We can also find the slope of the line formed by the coordinates given.

First, let's find the slope (m) between the points (15, 15,000) and (30, 22,500). The formula for slope between two points \((x_1, y_1)\) and \((x_2, y_2)\) is:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Using the points:

• \((x_1, y_1) = (15, 15000)\)
• \((x_2, y_2) = (30, 22500)\)

Substituting these values into the slope formula:

\[ m = \frac{22500 - 15000}{30 - 15} = \frac{7500}{15} = 500 \]

Now, we can fill in the blanks based on the slope and the relationships:

• "The slope of the line is 500 because, as the minutes increase, the altitude increases."

So the complete filled response would be:

• The slope of the line is 500 because, as the minutes increase, the altitude increases.