Which of the numbers shown are rational?
I.
TT
II. ✓49
III. 0.287
IV. ✓9/16
V.25
F I only
G II and III only
HII, III and IV only
J II, III, IV and V only

The correct option is J.II, III, IV and V only.

Step-by-step explanation:

A rational number are those numbers that can shown in a p/q form or as the ratio of two numbers.

The numbers that cannot be shown as the ratio of two numbers are known as irrational.

Consider each number at a time:

Thus, the numbers that are rational are II, III, IV and V.

The correct option is J.

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.

x:       y:  

-1         4

0         4

1         6

2         18

3         20