Question

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? Alexa traveled at a faster rate because the slope of her line is Three-fourths, which is greater than the slope of the line described by the data in Mia’s table. Alexa traveled at a faster rate because the slope of her line is Four-thirds, which is greater than the slope of the line described by the data in Mia’s table. Mia traveled at a faster rate because the slope of the line described by the data in her table is One-half, which is greater than the slope of the line on Alexa’s graph. Mia traveled at a faster rate because the slope of the line described by the data in her table is StartFraction 2 Over 1 EndFraction, which is greater than the slope of the line on Alexa’s graph.

Answer 1

1. Alexa traveled at a faster rate because the slope of her line is 3/4 , which is greater than the slope of the line described by the data in Mia’s table.

Explanation:

Answer 2

number 1

Explanation:

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.

Explanation:

We know that,

Slope of and is

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 =

i.e. Mia's slope =

i.e. Mia's slope =

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 =

i.e. Alexa's slope =

As, Alexa's slope = > = Mia's slope.

So, the correct option is,

1. Alexa traveled at a faster rate because the slope of her line is 3/4 , which is greater than the slope of the line described by the data in Mia’s table.