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 $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)

Answer 1

Answer:

• See below

Step-by-step explanation:

According the the table we have:

• The y- intercept is 600, the initial balance

(A) The slope

The slope is the rate of change per day:

• m = (720 - 600)/3 = 40

(B) The equations

Point- slope form, use pair (0, 600):

• y - y₁ = m(x - x₁)
• y - 600 = 40x

Slope intercept form:

• y = mx + b
• y = 40x + 600

Standard form:

• ax + by = c
• 40x - y = - 600

(C)

Function notation uses the slope-intercept form:

• f(x) = 40x + 600

(D)

Find f(7):

• f(7) = 40*7 + 600 = 880