The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account: x g(x) 0 $1500 2 $1350 4 $1200 part a: find and interpret the slope of the function. (3 points) part b: write the equation of the line in point-slope, slope-intercept, and standard forms. (3 points) part c: write the equation of the line using function notation. (2 points) part d: what is the balance in the bank account after 12 days? (2 points)

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Step-by-step explanation:

Form a table as;

x         g(x)

0       $1500

2       $1350

4        $1200

a) Find the slope, m which is Δy/Δx

m=Δy/Δx

Δy =1350-1500= -150

Δx = 2-0 = 2

m= -150/ 2= -75

This means the balance $ 1500 reduces by $75 after a day

(b) (i) in point slope form

  y-y₁=m(x-x₁)

   y-1500= -75( x-0)

(ii) in slope-intercept form

   y=mx+c

   y= -75x +1500

(iii) in standard form

   Ax+By=C  where x and y are variables where as A,B,C are integers

  y+75x =1500

(c). Writing the equation in function notation

   f(x)= -75 x +1500

(d) The balance in account after 12 days will be;

    f(12) = -75 *12 +1500

            = -900 +1500

            = $ 600

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05