Consider the data shown on the graph: (5 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. a) The y-intercept represents the base price of $ for airfare from NYC. b) The slope represents a cost of Response area cents per mile traveled. c) According to the equation given, someone who traveled 2,000 miles from NYC would pay $Response area for their airfare. d) According to the equation given, someone who paid $500 for airfare from NYC would have traveled Response area miles. e) If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be Response area. Skip to navigation
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To answer the question, you need to analyze the information shown on the graph and understand the concept of slope-intercept form of a linear equation.
a) The y-intercept represents the base price of $ for airfare from NYC.
To find the base price of airfare, look at the point where the line intersects the y-axis on the graph. This is the y-intercept, which gives the value of the dependent variable (y) when the independent variable (x) is 0.
b) The slope represents a cost of Response area cents per mile traveled.
To determine the cost per mile traveled, calculate the slope of the line on the graph. The slope is the ratio of the change in y-values to the change in x-values between two points on the line.
c) According to the equation given, someone who traveled 2,000 miles from NYC would pay $Response area for their airfare.
To answer this question, we need to utilize the equation of the line. The equation should be in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept. Plug in the given value of x (2,000 miles) into the equation and solve for y.
d) According to the equation given, someone who paid $500 for airfare from NYC would have traveled Response area miles.
Similarly, we can use the equation in slope-intercept form to determine the number of miles traveled when the cost of airfare is given. Set the y-value (cost) equal to $500 and solve for the corresponding x-value (miles traveled).
e) If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be Response area.
To find the new equation, substitute the new y-intercept value ($50) into the slope-intercept form equation and keep the slope unchanged.
By following these steps, you can find the corresponding values and equations based on the information provided on the graph.
a) The y-intercept represents the base price of $100 for airfare from NYC.
b) The slope represents a cost of 0.20 cents per mile traveled.
c) According to the equation given, someone who traveled 2,000 miles from NYC would pay $400 for their airfare.
d) According to the equation given, someone who paid $500 for airfare from NYC would have traveled 2,500 miles.
e) If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y = 0.20x + 50.