For what values of b will f(x)=logbx be a decreasing function?
b> 0
0> b> -1
0 b> 0

0 < b < 1

Step-by-step explanation:

This is a logarithmic function  

This is defined for all values of b greater than 0 (by nature) also x > 0

The function is increasing for values of b > 0

The function is decreasing for values of 0 < b < 1

Note: See attached graphs

11

step-by-step explanation:

32.50-7.50=25

225/25=11

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.