At a baseball game, workers toss T-shirts to spectators in the stands out of a sling-shot. The
height of a T-shirt is modelled by the function
h(t) = -51° + 204 + 1 where h(t) is height in metres
and , is the time in seconds after the toss.
What is the maximum height of the T-shirt if it is
not caught? How long does it take to reach
maximum height?

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.

answer is  

a.

p = 78

step-by-step explanation:

the solution, from the graphing of the two lines, is (3,2), i.e., x = 3, y = 2.

2 liters for 10   people

step-by-step explanation: