People attended the State Fair at a rate of 42 people per minute. How many hours would it take for there to be 15,000 people at the Fair (first find how many minutes it will take)?

Step-by-step explanation:

42 people per minute

how many minutes for 15000 people ?

well, how often does 42 fit into 15000 ?

15000/42 = 357.1428571... minutes

and since we want to bring in everyone of the 15000, we have to count the fraction of the last minute as minute.

so, we have 358 minutes.

and that is in hours, as 1 hour = 60 minutes

358/60 = 5.9... hours

so, the rounded answer is 6 hours.

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.