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)

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

-4

step-by-step explanation:

do 6-10=

if u need it to be negative.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.