\nThe coefficient of x (slope) is the rate of change of the linear function.<\/p>\n
To find the rate of change from a linear function graph:<\/strong> To find the rate of change from a function table:<\/strong> Jane’s website gets more sales per day.<\/strong><\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Comparing Functions[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n You have recently begun searching for phone billing plans. Phone Company A charges can be represented by the equation y = 0.2x, where x represents the number of texts you send a month and y is the total bill for the month. The billing plan for phone company B is represented by the table below. Which company has the lowest rate for texts?<\/span><\/strong> Nick and Alyssa are racing up a wall. Alyssa’s height on the wall is given by the equation a = The amount of money saved (y) after a number of days (x) for Adam is represented by the graph below. The amount of money saved (y) after a number of days (x) for Bianca is represented by the table. Who is saving more money per day?<\/span><\/strong> Rate of Change<\/strong> – ratio of the “vertical change” to the “horizontal change” between (any) two distinct points on a line. It is also called the slope.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]Pre-requisite Skills<\/strong><\/span> [vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Comparing Functions [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]A function in math is visualized as a rule, which gives a unique output for every input x. There are many ways to represent functions. For […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"\n
\n1. Select any two ordered pairs from the graph.
\n2. Subtract the y-coordinates of both ordered pairs to find the vertical change. This is the rise.
\n3. Subtract the x-coordinates of both ordered pairs to find the horizontal change. This is the run.
\n4. Calculate the slope by dividing the rise by the run.<\/p>\n
\n1. Select any two ordered pairs from the table.
\n2. Subtract the y-coordinates of both ordered pairs to find the vertical change. This is the rise.
\n3. Subtract the x-coordinates of both ordered pairs to find the horizontal change. This is the run.
\n4. Calculate the slope by dividing the rise by the run. [\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]The number of sales (y) per day (x) on Jane’s website can be represented by y = 12x.
\nThe number of sales on Sarah’s website is shown in the graph below. Whose website gets more sales per day?
\n![\"\"](\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/8-20.png\")
<\/a><\/span><\/strong>
\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]The rate of Jane’s sales is 12 sales\/day. The graph of Sarah’s sales has a rate of change of , so she gets 10 sales\/day.<\/p>\n
Practice Problem 1<\/h5>\n
\nRound your answers to the nearest hundredths.
\n![\"\"](\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/9-18.png\")
<\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/compare-properties-of-functions”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\nPractice Problem 2<\/h5>\n
t + 5, where (a) is Alyssa’s height in meters after climbing (t) minutes. Nick started racing at the same time as Alyssa and is also climbing at a constant speed. His height is shown in the table below. Who is climbing at a slower rate?<\/span><\/strong>
\nRound your answers to the nearest tenths.
\n![\"\"](\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/10-13.png\")
<\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/compare-properties-of-functions”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\nPractice Problem 3<\/h5>\n
\n![\"\"](\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/11-13.png\")
<\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/compare-properties-of-functions”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]Function<\/strong> – is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).<\/p>\n
\nSlope<\/span><\/a>
\nRepresenting Relationships<\/span><\/a>
\nRelations<\/span><\/a>
\nFunctions<\/span><\/a>
\nLinear Functions<\/span><\/a>
\n[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1637241856065{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}”]Related Skills<\/strong><\/span>
\nConstruct Functions<\/span><\/a>
\nLinear and Nonlinear Functions<\/span><\/a>
\nQuadratic Functions<\/span><\/a>
\nQualitative Graphs<\/span><\/a>
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