The boys tennis team at a high school was asked about their heights (in inches) and shoe sizes to see if a relationship existed between the two variables. the information collected is displayed in the table
below
height (inches)
shoe size
70
10
75
13
69
10
70
115
71
12
73
10.5
72
12
what is the domain of this relation, and is this relation a function?
(10. 105. 115 12 13) not a function
(10, 105, 115, 12, 13), function
{69, 70, 71, 72, 73, 75), not a function

hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.

42.4 6th grade students prefer hip hop

step-by-step explanation:

40 percent of 106 = 42.4