Michelle makes jewelry boxes containing drawers of equal size. The numbers of drawers in three different jewelry boxes and the corresponding total volumes of the drawers are shown in the table below. Write an equation for the relationship between the number of drawers in the jewelry box, d, and the total volume of the drawers in the jewelry box, V. Use your equation to determine the number of drawers in a jewelry box with a total volume of 17.5 cubic inches.

Question

Mathematics

Adriana Ritter

17 November, 06:24

Michelle makes jewelry boxes containing drawers of equal size. The numbers of drawers in three different jewelry boxes and the corresponding total volumes of the drawers are shown in the table below. Write an equation for the relationship between the number of drawers in the jewelry box, d, and the total volume of the drawers in the jewelry box, V. Use your equation to determine the number of drawers in a jewelry box with a total volume of 17.5 cubic inches.

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Answers (1)

Know the Answer?

Titus Miles · Answer 1

Found the missing table:

Number of drawers: 2 3 4

Total Volume (cubic inches) 5 7.5 10

(7.5 - 5) / (3 - 2) = 2.5 / 1 = 2.5 this is the common ratio.

number of drawers represented by d; total volume of drawers represented by V

V = 2.5d

17.5 = 2.5 d

17.5 / 2.5 = d

7 = d

There will be 7 drawers in a jewelry box that has a total volume of 17.5 cubic inches.