Mia records the distance traveled in x minutes in the table below, while Alexa uses a graph to record her distance traveled over the same time period. Alexa’s Graph A graph has time (minutes) on the x-axis and Distance traveled (miles) on the y-axis. A line goes through points (4, 3) and (8, 6). Mia’s Table A 2-column table with 4 rows. Column 1 is labeled Time (minutes) with entries 10, 18, 20, 26. Column 2 is labeled Distance Traveled (miles) with entries 5, 9, 10, 13. Based on the data on the graph and in the table, which statement gives an accurate comparison?
Answers
Answer:
1. Alexa traveled at a faster rate because the slope of her line is , which is greater than the slope of the line described by the data in Mia’s table.
Step-by-step explanation:
We know that,
Slope of ( x¹ - y¹ ) and ( x² - y² ) is( x¹ - y¹ ) / ( x² - y² )
Mia records the distance traveled over the time by the table.
Taking the points (10,5) and (18,9), the slope is given by,
⇒ Mia's slope = 9 - 5 / 15 - 18
⇒ i.e. Mia's slope = 4 / 8
⇒ i.e. Mia's slope = 1 / 8
Alexa records the distance traveled over the time by the graph.
Taking the points (4,3) and (8,6), the slope is given by,
⇒ Alexa's slope = 6 - 4 / 8 - 4
⇒ i.e. Alexa's slope = 3 / 4
⇒ As, Alexa's slope = 3 / 4 > 1 /2 = Mia's slope.
⇒ So, the correct option is,
1. Alexa traveled at a faster rate because the slope of her line is , which is greater than the slope of the line described by the data in Mia’s table.
Step-by-step explanation:
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Answer:
1. Alexa traveled at a faster rate because the slope of her line is , which is greater than the slope of the line described by the data in Mia’s table.
Step-by-step explanation:
We know that,
Slope of ( x¹ - y¹ ) and ( x² - y² ) is( x¹ - y¹ ) / ( x² - y² )
Mia records the distance traveled over the time by the table.
Taking the points (10,5) and (18,9), the slope is given by,
⇒ Mia's slope = 9 - 5 / 15 - 18
⇒ i.e. Mia's slope = 4 / 8
⇒ i.e. Mia's slope = 1 / 8
Alexa records the distance traveled over the time by the graph.
Taking the points (4,3) and (8,6), the slope is given by,
⇒ Alexa's slope = 6 - 4 / 8 - 4
⇒ i.e. Alexa's slope = 3 / 4
⇒ As, Alexa's slope = 3 / 4 > 1 /2 = Mia's slope.
⇒ So, the correct option is,
1. Alexa traveled at a faster rate because the slope of her line is , which is greater than the slope of the line described by the data in Mia’s table.
Step-by-step explanation:
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