HELP PLS!! 50 POINTS/ BRAINLIEST

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 $1,500
2 $1,350
4 $1,200

Part A: Find and interpret the slope of the function.

Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms.

Part C: Write the equation of the line using function notation.

Part D: What is the balance in the bank account after 5 days?

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

From ~Itsbrazts~.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

42

step-by-step explanation: