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Question
jasmine is hiking at a state park. her distance from home, y, is a function of the time she hikes, x. the table and graph both represent the function. rate of change: 2 jasmine hikes at a rate of 2 miles per hour. she wants to know how far she was from home when she started hiking. is the initial value shown in the table or on a numbered gridline? yes no
Step1: Recall the concept of initial - value
The initial value of a linear function is the value of the dependent variable (y) when the independent variable (x) is 0. In a table, we would look for the row where x = 0. In a graph, we look at the y - intercept (where the line crosses the y - axis).
Step2: Check the table
The table has x - values 2, 5, and 8. There is no x = 0 value in the table.
Step3: Check the graph
The graph does not cross a numbered grid - line on the y - axis. The y - intercept is between 6 and 9.
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