(02.04 lc)
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 (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 5 days? (2 points)
na

Respuesta :

a) The slope is

[tex]\frac{1350-1500}{2-0}=-75[/tex]

This represents that every day, there are $75 taken out of the bank account.

b) Point-slope: [tex]y-1350=-75(x-2)[/tex]

Slope-intercept: [tex]y=-75x+1500[/tex]

Standard form, [tex]75x+y=1500[/tex]

c) [tex]g(x)=-75x+1500[/tex]

d) When x=5, [tex]g(5)=-75(5)+1500=\$1125[/tex].