Tell whether x and y are in a proportional relationship. if so, find the unit rate.

let y be the temperature x hours after midnight. the temperature is 60 degrees fahrenheit at midnight and decreases 2 degrees fahrenheit every 1/2 hour.

y = 60 - 4x

-4°F per hour

Step-by-step explanation:

We have x hours after midnight the temperature is y. Now, the temperature is 60°F at midnight and decreases 2°F every 1/2 hours.

So, the relation between x and y can be written as y = a - bx  ....... (1)

Now, at x = 0, y = 60.

Hence, a =60. {From equation (1)} and y = 60 - bx ...... (2)

Again at x =0.5, y = 60-2 = 58.

Hence, from equation (2), 58 = 60 - b(0.5), ⇒ b = = 4

Therefore, the final relation between x and y is, y = 60 - 4x ...... (3)

So, we can conclude that the relation between x and y is not proportional but linear and the unit rate of change of temperature with respect to time is -4°F per hour. (Answer)

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.