A container is being filled with water at a steady rate. The graph shows how the volume of water in the container varies with the amount of time since the container began filling. We see that there are 4 gallons of water in the container when the container has been filling for 5 minutes. a. Define a formula to determines the volume (in gallons) of water in the container, v , in terms of the number of minutes, t, since the container began to fill.

 a. and b. .

Step-by-step explanation:

Let as consider,

Volume (in gallons) of water in the container = v

The number of minutes = t

(a)

From the given graph it is clear that the line passing through the points (0,0) and (3,2). So, the equation of line is

Therefore, the required formula is .

(b)

We have,

Multiply both sides by 3/2.

Therefore, the required formula is .

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

move it to the other side

step-by-step explanation: