ECON2100 Homework Ch.1 appendix

The table shows data on the quantities of music videos and singles downloads sold. Quantity of Quantity of music videos sold downloads sold ​ (millions per​ year) Year 2006 23 600 2008 13 ​1,050 2010 9 ​1,150 Draw three points that represent the data in the table. Draw a curve through the points. The relationship in the graph​ _______.

Points (23,600) (13,1,050) (9,1,150) is negative

The table gives information about the relationship between the variables x and y. x 1 2 3 4 y 1 4 9 16 Draw the four points described in the table. Draw a curve through the points to show the relationship between x and y. The relationship between x and y is​ ______.

Points (1,1) (2,4) (3,9) (4,16) positive becoming steeper

The table provides data on the price of hot​ chocolate, temperature, and the number of cups of hot chocolate bought per day. Hot chocolate Price ​(number per​ week) ​(dollars per​ cup) 45* 70* 90* 3.00 30 25 20 4.00 25 20 15 6.00 20 15 10 Draw points to show the price when the temperature is 70 degrees and the quantity of hot chocolate is 1) 25cups. Label the point 1. ​2) 20cups. Label the point 2. ​3) 15cups. Label the point 3.

Points (15,6) (20,2) (25,3)

The table gives information about the relationship between the variables x and y. x 1 2 3 4 y 31 28 23 16 The relationship between x and y is​ ______. The graph shows the relationship between x and y. Draw a line that intersects both x and y axes and is tangent to point A---a line that touches point A and no other point on the curve. Label it TA. Draw a line that intersects both x and y axes and that is tangent to point B---a line that touches point B and no other point on the curve. Label it TB. The slope of the relationship at point A is __ and the slope of the relationship at point B ___. How does the magnitude of the slope of the relationship change as the value of x ​increases?

points (1,31) (2,28) (3,23) (4,16) negative becoming steeper line A end points (0,36) (9,0) A touches at (2,28) line B end points (0,48) (6,0) B touches at (4,16) -4, -8 The slope increases.

The table shows data on the quantities of compact discs and music videos sold. Quantity of Quantity of music CDs sold videos sold ​(millions per​ year) Year 2004 775 33 2006 625 23 2008 375 13 Draw three points that represent the data in the table. Draw a curve through the points. The relationship in the graph​ _______.

points (13,375) (23,625) (33,775) is positive