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Natalka [10]
3 years ago
11

A car salesman recorded the number of people who purchased a new car and the car's color. He then created the following bar grap

h:
Which of the following statements best compares the heights of the bars of the bar graph?
There are more people who purchased a red car than white and black cars combined.
There are more people who purchased a silver car than white and black cars combined.
There are twice as many people who purchased a red car than a black car.
There are 3 times as many people who purchased a black car than a silver car.

Mathematics
1 answer:
Step2247 [10]3 years ago
4 0

Answer:

There are twice as many people who purchased a red car than a black car.

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Choose all the lines that are parallel to the line pictured in the graph bellow.
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Answer:

a. y = -½x

b. y = -½x + 3

c. 2y = -x - 4

e. x + 2y = 8

Step-by-step explanation:

Parallel lines have the same slope. Therefore, the lines that will be parallel to the given line on the graph would have the same slope as the line of the graph.

First, find the slope of the line on the graph:

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

Use the coordinates of any two points on the line. Let's use (-4, 0) and (0, -2)

m = \frac{-2 - 0}{0 -(-4)} = \frac{-2}{4} = -\frac{1}{2}

Slope of the line on the graph is -½.

Check each given line equation, ensure they are in the slope-intercept form and find out if the value of their slope is the same as -½.

Slope-intercept form is given as y = mx + b, where, m = slope.

Option 1: y = -½x

The slope of this line is -½, therefore it is parallel to the line on the graph.

Option 2: y = -½x + 3

The slope of this line is also -½, therefore it is parallel to the line on the graph.

Option 3: 2y = -x - 4

Rewrite in slope-intercept form.

y = -x/2 - 4/2

y = -½x - 2

The slope of this line is -½, therefore it is parallel to the line on the graph.

Option 4: y = 2x - 5.

The slope of this line is 2, therefore it is NOT parallel to the line on the graph.

Option 5: x + 2y = 8

Rewrite in slope-intercept form.

2y = 8 - x

y = 8/2 - x/2

y = 4 - ½x

The slope of this line is -½, therefore it is parallel to the line on the graph.

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