1. if f(x) varies directly with x, and f(x) = 12 when x = 8, write the direct linear variation equation.

a. f(x)=8x
b. f(x)=12x
c. f(x)=2/3x
d. f(x)=3/2x

2.which does not show a direct variation between x and y?

a. y=5x
b. y=6/x
c. y=0.7x
d. y=x/9

3.find the constant of variation for the relationship shown in the following table:

x 1 2 3 4
y 3 6 9 12

Lems1. the following data set represents the scores on intelligence quotient(iq) examinations of 40 sixth-grade students at a particular school: 114, 122, 103, 118, 99, 105, 134, 125, 117, 106, 109, 104, 111, 127,133, 111, 117, 103, 120, 98, 100, 130, 141, 119, 128, 106, 109, 115,113, 121, 100, 130, 125, 117, 119, 113, 104, 108, 110, 102(a) present this data set in a frequency histogram.(b) which class interval contains the greatest number of data values? (c) is there a roughly equal number of data in each class interval? (d) does the histogram appear to be approximately symmetric? if so,about which interval is it approximately symmetric?

3women sell hats at a craft fair weekly. the money they make at the fair is split into categories. 9% goes to pay taxes. $55 goes to pay rent for the space they sell in. the rest is split between the women. if the group make $706 at the fair, how much does each women get paid once the money is divided

The graph shows the amount of money noah earned based on the number of lawns he cut. which list shows the dependent quantities in the graph?