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Which graph shows a proportional relationship between the number of hours of renting a bike and the total amount spent to rent the bike? A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 14, 28, 42, 56, and 70. Points are shown on ordered pairs 0, 0 and 2, 14 and 4, 28 and 6, 32 and 8, 44. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars. A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 10, 20, 30, 40, and 50. Points are shown on ordered pairs 0, 0 and 2, 10 and 4, 20 and 6, 42 and 8, 56. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars. A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 14, 28, 42, 56, and 70. Points are shown on ordered pairs 0, 0 and 2, 14 and 4, 28 and 6, 35 and 8, 44. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars. A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 14, 28, 42, 56, and 70. Points are shown on ordered pairs 0, 0 and 2, 14 and 4, 14 and 6, 14 and 8, 14. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.

Respuesta :

Answer:

A, the graph is shown

Step-by-step explanation:

A proportional relationship is one in which the output value is a constant

proportion of the input value.

The given data points in the question options are not proportional

Reasons:

A proportional relationship is one in which can be represented in the form;

y ∝ x

y = c·x

Therefore, in a proportional relationship, we have;

[tex]\dfrac{y}{x} = c = A \ constant[/tex]

From the given options, the data points in option 1, we have;

[tex]\begin{array}{|c|c|c|}x&y&\dfrac{y}{x} \\2&14&7\\4&28&7\\6&32&\frac{16}{3} \\8&44&5.5\end{array}\right][/tex]

[tex]\dfrac{y}{x}[/tex] changes in the first option, therefore, first option is not a proportional relationship.

Second Option:

In the second option, we have;

[tex]\begin{array}{|c|c|c|}x&y&\dfrac{y}{x} \\2&10&5\\4&20&5\\6&42&7\\8&56&7\end{array}\right][/tex]

[tex]\dfrac{y}{x}[/tex] changes in the second option, therefore, the second option is also not a proportional relationship.

Third Option:

[tex]\begin{array}{|c|c|c|}x&y&\dfrac{y}{x} \\2&14&7\\4&28&4\\6&35&\frac{35}{6} \\8&44&5.5\end{array}\right][/tex]

[tex]\dfrac{y}{x}[/tex] is not constant in the third option, therefore, the third option is not a proportional relationship.

Fourth Option

[tex]\begin{array}{|c|c|c|}x&y&\dfrac{y}{x} \\2&14&7\\4&14&3.5\\6&14&\frac{7}{3} \\8&14&1.75\end{array}\right][/tex]

[tex]\dfrac{y}{x}[/tex] is also not constant in the fourth option, therefore, the fourth option is not a proportional relationship.

  • The data points of the given graphs are non proportional

Data points of graphs that show a proportional relationship is as follows;

[tex]\begin{array}{|c|c|c|}x&y&\dfrac{y}{x} \\2&14&7\\4&28&7\\6&42&7 \\8&56&7\end{array}\right][/tex]

The equation of that gives the above data is y = 7·x

The graph of an example of a proportional relationship is attached.

Learn more about proportional relationship here:

https://brainly.com/question/16430094

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