Question

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 5600
3 5720
6 5840
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)

Answer 1

Answer:

A. 4

B. Point-slope: y - 5600 = 40(x-0)

Slope-intercept: y = 40x +5600

Standard: y - 40x = 5600

C. g(x) = 40x + 5600

D. 5880

Step-by-step explanation:

Part A

m = (y2-y1)/(x2-x1)

m = (5720-5600)/(3-0)

m = (120)/(3)

m = 40

Part B

Point-slope: y - 5600 = 40(x-0)

Slope-intercept: y = 40x +5600

Standard: y - 40x = 5600

Part C

g(x) = 40x + 5600

Part D

g(x) = 40(7) + 5600

g(x) = 280 + 5600 = 5880