Answered

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Ms.jello and Ms. valesquesz read three books each last moth. The table shows the number of pages in each book and length of time it took to read the entire book. Ms. jello208: 8156: 6234:9Ms.valesquez168:6120:4348:12Which of the tables, if any, shows a proportional relationship?

Sagot :

ANSWER:

The table for Ms. Jello shows a proportional relationship, because Ms. Jello reads at a proportional rate of 26 pages per hour

In Mathematics, a proportional relationship between two variables occur when the two quantities vary with each other.

Given both tables let's check for the number of pages read in an hour.

Let's use constant of proportionality K, to solve.

Ms. Jello;

208 pages is proportional to 8 hours

208 = K8

K = 208 ÷ 8 = 26

156:6

156 = K6

K = 156 ÷ 6

K = 26

234:9

234 = K9

K = 234 ÷ 9

K = 26

This table for Ms. Jello shows a proportional relationship, because 26 pages are read in an hour

Now let's check for the second table

Ms. Valesquez:

168:8

168 = 8K

K = 168 ÷ 8

K = 21

120:4

120 = 4K

K = 120 ÷ 4

K = 30

348:12

348 = 12K

K = 348 ÷ 12

K = 29

The table for Ms. Valesquez does not show a proportional relationship.

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