The table below shows the number of pages Ilana read during summer vacation. Is the relationship between the number of pages and the number of days a proportional relationship? Why or why not?

Days: Pages:

1////////// 85

2 //////////170

3 //////////249

4 ////////////340

5 /////////////435

Answer Choices:

1.) The relationship is proportional because the ratio of pages to days is 85.

2.) The relationship is proportional because the ratio of pages to days is 87.

3.) The relationship is not proportional because the number of pages is not constant.

4.) The relationship is not proportional because the ratio of pages to days is not constant.

No links; only answer if you know

A linear relationship is a relationship in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c.

A linear relationship with two variables, when graphed on the cartesian plane with axes of those variables, gives a straight line.

For the given relationship to be proportional, the number of pages read should be the same every day. Therefore, the ratio of the number of pages to the number of days should be equal.

85/1 = 85

170/2 = 85

249/3 = 83

340/4 = 85

435/5 = 87

Hence, the correct option is D, The relationship is not proportional because the ratio of pages to days is not constant.

Learn more about Linear relationships:

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