A survey of sixth-grader students recorded how many hours students studied each week. The histogram below displays the collected information. A histogram titled Study Time has number of hours on the x-axis and number of students on the y-axis. 7 students study 0 to 1.99 hours; 6 study 2 to 3.99 hours; 3 study 4 to 5.99 hours; 4 study 6 to 7.99 hours; 1 studies 8 to 9.99 hours. Which interval shows the greatest number of students? 0 - 1.99 2 - 3.99 4 - 5.99 6 - 7.99

Step-by-step explanation:

According to the problem, we have the following information:

Intervals (hours)     Students

    0 - 1.99                      7

    2 - 3.99                     6

    4 - 5.99                     3

    6 - 7.99                     4

    8 - 9.99                     1

As you can see in the table below, the interval of hours with greater number of students is 0 - 1.99.

Therefore, 7 students study between 0 and 2 hours each week.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3