CASE 1 The diagram below shows the first option of a swimming pool. As seen from the top, the swimming pool
is formed as a trapezium (this measurable figure consists of a rectangle and triangle). The swimming
pool is thus a three-dimensional object that consists of a rectangular and a triangular prism. All the
measurements are indicated on the diagram.
300 cm
3 m
3,2 m
2,5 m
TOP VIEW
150 cm
5 m
250 cm
5 m
1.1
Calculate the area of the base of the swimming pool.
​

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.

f(x) = y

f(-3) = -5

step-by-step explanation:

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.