Math

QuestionWhich teacher's quiz table shows a proportional relationship between the number of questions and point value?

Studdy Solution

STEP 1

Assumptions1. We have four tables from four different teachers, each showing the number of questions on a quiz and the corresponding point value. . We need to determine which table shows a proportional relationship between the number of questions and the point value.
3. A proportional relationship means that the ratio of the number of questions to the point value is constant across all entries in the table.

STEP 2

We start by calculating the ratio of the number of questions to the point value for each entry in Mrs. Jacob's table.
NumberofQuestionsPointValue\frac{Number\, of\, Questions}{Point\, Value}

STEP 3

Calculate the ratio for each entry in Mrs. Jacob's table.
314,17,829,1241\frac{3}{14}, \frac{}{17}, \frac{8}{29}, \frac{12}{41}

STEP 4

Check if the ratios calculated in the previous step are equal. If they are not equal, Mrs. Jacob's table does not show a proportional relationship.

STEP 5

Repeat steps2 to4 for Mr. Weil's table, Mr. Lee's table, and Mrs. Rigg's table.

STEP 6

Calculate the ratio for each entry in Mr. Weil's table.
513,925,1337,1543\frac{5}{13}, \frac{9}{25}, \frac{13}{37}, \frac{15}{43}

STEP 7

Check if the ratios calculated in the previous step are equal. If they are not equal, Mr. Weil's table does not show a proportional relationship.

STEP 8

Calculate the ratio for each entry in Mr. Lee's table.
4,715,1225,2041\frac{4}{}, \frac{7}{15}, \frac{12}{25}, \frac{20}{41}

STEP 9

Check if the ratios calculated in the previous step are equal. If they are not equal, Mr. Lee's table does not show a proportional relationship.

STEP 10

Calculate the ratio for each entry in Mrs. Rigg's table.
420,630,1050,1575\frac{4}{20}, \frac{6}{30}, \frac{10}{50}, \frac{15}{75}

STEP 11

Check if the ratios calculated in the previous step are equal. If they are equal, Mrs. Rigg's table shows a proportional relationship.
The table that shows a proportional relationship between the number of questions and the point value is Mrs. Rigg's table.

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