Grace conducted a study to show how many hours her dog sleeps after having one or two hours of exercise. she set up a two-way table in four different ways. which table will best represent grace’s data?

The last table.

Step-by-step explanation:

To determine if there is a relationship between the number of hours of exercise and the number of hours the dog sleeps, we must compare both of these pieces of information.

The only table that compares these two types of information is the last one.  The first chart compares number of hours of sleep to number of hours of sleep; the second chart compares the number of hours of exercise to the number of hours of exercise; the third chart compares the number of hours of exercise to the number of hours of exercise.

x -

median = 1.25

range = 12-14.5

interquartile = q12-q14.5

y -

median = 1

range = 15-17

interquartile = q15-q17

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb