Mathematics, 06.10.2019 18:30 marisol84

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. (look at the graphs)

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 3/4 , 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 is4/3 , 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 1/2 , 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 2/1 , which is greater than the slope of the line on alexa’s graph.

Mia records the distance traveled in x minutes in the table below, while alexa uses a graph to recor

Answers: 2

Show answers

Answers

Answer from: carapiasebas

1. Alexa traveled at a faster rate because the slope of her line is $\frac{3}{4}$ , 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 $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

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 = $\frac{9-5}{18-10}$

i.e. Mia's slope = $\frac{4}{8}$

i.e. Mia's slope = $\frac{1}{2}$

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 = $\frac{6-3}{8-4}$

i.e. Alexa's slope = $\frac{3}{4}$

As, Alexa's slope = $\frac{3}{4}$ > $\frac{1}{2}$ = Mia's slope.

So, the correct option is,

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

Answer from: vanswol42

The correct option is

(A) Alexa travelled at a faster rate because the slope of her line is $\dfrac{3}{4}$ , which is greater than the slope of the line described by the data in Mia’s table.

Step-by-step explanation: Given that Mia records the distance travelled in x minutes in the table below, while Alexa uses the given graph to record her distance travelled over the same time period.

We are to select the accurate comparison based on the data on the graph and in the table.

We know that the slope of a line passing through the points (a, b) and (c, d) is given by

$m=\dfrac{d-b}{c-a}.$

For Alexa's graph :

From the graph, we note that the straight line passes through the points (4, 3) and (8, 6).

Therefore, the slope of the line on the graph will be

$m_1=\dfrac{6-3}{8-4}\\\\\\\Rightarrow m_1=\dfrac{3}{4}.$

For Mia's table :

From the table, we see that two of the points are (10, 5) and (18, 6).

Therefore, the slope of the line described by the table is given by

$m_2=\dfrac{9-5}{18-10}\\\\\\\Rightarrow m_2=\dfrac{4}{8}\\\\\\\Rightarrow m_2=\dfrac{1}{2}.$

Now, we have

$\dfrac{1}{2}=\dfrac{2}{4}\dfrac{1}{2}\\\\\Rightarrow m_1=m_2.$

So, the slope of Alexa's graph is greater than the slope of Mia's table. This implies that Alexa travelled at a faster rate than Mia.

Hence, Alexa travelled at a faster rate because the slope of her line is $\dfrac{3}{4}$ , which is greater than the slope of the line described by the data in Mia’s table.

Option (A) is CORRECT.

Answer from: Quest

wholesale price is the initial price before markup. retail price comes after the markup.

a price of 8 bucks that's marked up by 100% is

formula: initial price + (percent markup in fraction/decimal)(initial price)

8+(1)(8)

8+8

retail price is $16.

Answer from: Quest

29. because you will divide each number of months by 12 to find the number of years. which would mean, 5, 12.5, 16, 45, 50, 72.5. which is crazy. anyhow, i think you find the median in the middle. and yea hope your test goes good

Another question on Mathematics

Mathematics, 21.06.2019 17:30

To which sets of numbers does -12 belong? choose all answers that are correct. a) natural numbers b) integers c) real numbers d) irrational numbers

Answers: 2

Answer

Mathematics, 21.06.2019 19:00

Kayla and alberto are selling fruit for a school fundraiser. customers can buy small boxes of grapefruit and large boxes of grapefruit. kayla sold 3 small boxes of grapefruit and 1 large box of grapefruit for a total of $65. alberto sold 1 small box of grapefruit and 1 large box of grapefruit for a total of $55. what is the cost each of one small box of grapefruit and one large box of grapefruit?

Answers: 1

Answer

Mathematics, 21.06.2019 19:30

Are triangles the congruent? write the congruency statement.what is the congruency that proves they are congruent? what is the perimeter of ∆pqr?

Answers: 1

Answer

Mathematics, 22.06.2019 00:00

Asunflower was 20 1/2 inches tall. over the next 6 months, it grew to a height of 37 inches tall. what was the average yearly growth rate of the height of the sunflower? ? plz write a proportion to solve i will give you 100 points

Answers: 2

Answer

You know the right answer?

Mia records the distance traveled in x minutes in the table below, while alexa uses a graph to recor...

Questions