Question

(1.) Which Table shows a proportional relationship between x and y?

Answer 1

Hey, I'm Daniel and I'm here to help you!

(1.) is B, which is the second choice above.
(2.) is C, which is Proportional: $50 per month

I hope I've helped and I am always here for any of you guys, so contact me if you need anything!
 Bye:)

Answer 2

The second picture represents the same relation between x and y and the proportional ratio of dollar to month is $\boxed{\ 50{\text{ per month}}}.$

Further explanation:

The relation is defined as the relationship between the input values and output values.

In the interval $\left({x,y}\right)$ the first value represents the x and the second value is y.

The x coordinates are the domain of the function and the y coordinates are the range of the function.

Explanation:

The ratios of x and y of first picture can be calculated as follows,

$\dfrac{1}{5}\dfrac{3}{{12}}=\dfrac{1}{3}$

The ratios of x and y are not equal. Therefore, in the first picture x and y are not in a proportional relationship.

The ratios of x and y of second picture can be calculated as follows,

$\begin{aligned}\frac{1}{3}\\\frac{2}{6}&=\frac{1}{3}\\\frac{4}{{12}}&= \frac{1}{3}\\\frac{5}{{15}}&=\frac{1}{3}\\\end{aligned}$

The ratios of x and y are equal. Therefore, in the second picture x and y are in a proportional relationship.

$\begin{aligned}\Dfrac{0}{4}&= 0\\\dfrac{2}{8}&=\frac{1}{4}\\\end{aligned}$

The ratios of x and y are not equal. Therefore, in the third picture x and y are not in a proportional relationship.

The ratios of x and y of fourth picture can be calculated as follows,

$\begin{aligned}\frac{1}{4}&=\frac{1}{4}\\\frac{2}{{10}}&=\frac{1}{5}\\\end{aligned}$

The ratios of x and y are not equal. Therefore, in the third picture x and y are not in a proportional relationship.

The ratio of dollars to months can be obtained as follows,

$\begin{aligned}\frac{{100}}{2}&= 50\\\frac{{150}}{3}&= 50\\\frac{{250}}{5}&= 50\\\frac{{400}}{8}&= 50\\\end{aligned}$

The dollars and months are in a proportional with ratio 50:1.

The second picture represents the same relation between x and y and the proportional ratio of dollar to month is $\boxed{\ 50{\text{ per month}}}.$

Kindly refer to the image attached.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Ratio and proportion

Keywords: function, relation table, same relation, set,$\left( { - 6,0} \right)$, set of values, set of numbers, coordinates, x-coordinate, y-coordinate.