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:

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.