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

4th option is correct xy=-10

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