Mathematics, 07.10.2019 23:30 xavierfox1721

1.
the graph shows the distance, y, that a car traveled in x hours:

what is the rate of change for the relationship represented in the graph? (5 points)

a. 25
b. 50
c. 1/25
d. 1/50

1. the graph shows the distance, y, that a car traveled in x hours:

Answers: 1

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Answers

Answer from: pandaho

The average rate of change is the same thing as the slope. We can take any two points on this line and plug it into the slope formula to find the slope.

Let's use (1, 25) and (2, 50).

(1, 25), (2, 50)
x1 y1 x2 y2

$\sf\dfrac{y_2-y_1}{x_2-x_1}$

$\sf\dfrac{50-25}{2-1}$

$\sf\dfrac{25}{1}$

$\sf 25$

Answer from: nananna90

The correct option is A.

Step-by-step explanation:

From the given graph it is clear that the line passing through the points (1,25) and (2,50).

If a line passing through the two points, then the slope of the line is

$m=\frac{y_2-y_1}{x_2-x_1}$

The line passing through the points (1,25) and (2,50), so the slope of the line is

$m=\frac{50-25}{2-1}$

$m=\frac{25}{1}$

m=25

Therefore the correct option is A.

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

Answer from: Quest

answer: i think one of the answer is $150 and $300?

step-by-step explanation:

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the graph shows the distance, y, that a car traveled in x hours:

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