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 $600 3 $720 6 $840 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 7 days? (2 points)

The answer is below

Step-by-step explanation:

From the table, When x = 0, g(0) = $600, when x = 3, g(3) = $720 and when x = 6, g(6) = $840. It can be represented by (0, 600), (3, 720) and (6, 840).

A) The slope of the function can be gotten by using any two points. Let us use  (0, 600), (3, 720). Therefore the slope (m) is given as:

The slope is 40

B) Using the points (0, 600), (3, 720), the equation of the line where x is the number of days that have passed on x axis and g(x) is the balance in the bank account on y axis is given by:

i) Point slope form

ii) Slope intercept form

The equation of a line in Slope intercept form is given as:

y = mx + c, where c is the intercept on the y axis when x = 0

y= 600 when x = 0, i.e. c = 600

y = mx + c

y = 40x + 600

iii) In standard form

The equation of the line in standard form is given in the form Ax+By = 0:

y = 40x + 600

y - 40x = 600

-40x + y = 600

C) The equation of the line in function equation form where g(x) = y is given by:

g(x) = 40x + 600

D) When the number of days (x) = 7, the balance in the bank g(x) is given as:

g(7) = 40(7) + 600 = 280 + 600 = 880

g(7) = $880

7

step-by-step explanation:

it should be a and d. lmk if i'm wrong xd