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.. (image below)

Well, See explanations.

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

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point