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 $325 5 $400 10 $475 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)

Answer 1

Answer:

A. 15

B. Point-slope: y - 325 = 15(x-0)

Slope-intercept: y = 15x + 325

Standard: y - 15x = 325

C. g(x) = 15x + 325

D. 505

Step-by-step explanation:

Part A. m = (y2-y1)/(x2-x1)

m = (400-325)/(5-0)

m = (75)/(5)

m = 15

Part B

Point-slope: y - 325 = 15(x-0)

Slope-intercept: y = 15x + 325

Standard: y - 15x = 325

Part C: g(x) = 15x + 325

Part D:

g(x) = 15(12) + 325

g(x) = 180 + 325

g(x) = 505