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)

A) -75

B)  point-slope formula: y - 1350 = -75(x - 2)

slope-intercept formula: y = -75x + 1500

standard forms formula: 75x + y = 1500

C) f(x) = -75x + 1500

D) $1125

Step-by-step explanation:

xg(x)

0      $1,500

2$1,350

4  $1,200

A) slope = (1200 - 1350)/(4 -2) = -75

This means that for one day to the next one, the balance account decrease in $75

B) point-slope formula:

y-y1=m(x-x1)

Replacing  with point (2, 1350) and the slope:

y - 1350 = -75(x - 2)

slope-intercept formula:

y = mx + b

The y-intercept (y-coordiate when x = 0) is 1500,  then:

y = -75x + 1500

standard forms formula:

Ax + By = C

From slope-intercept form:

75x + y = 1500

C) From slope-intercept form:

f(x) = -75x + 1500

D) Replacing x = 5 in the last formula:

f(5) = -75(5) + 1500 = $1125

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step-by-step explanation:

a) t'(-3, 6) and v'(0, 3)  

step-by-step explanation: