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skelet666 [1.2K]
4 years ago
11

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)

I need a good explanation for all of them ASAP!!! WILL GIVE BRAINLIEST!!!
Mathematics
1 answer:
Olegator [25]4 years ago
6 0

Answer:

See below

Step-by-step explanation:

<u>As per table given, the points are:</u>

  • (0, 1500), (2, 1350), (4, 1200)
<h3>Part A</h3>

Slope is found as change in range/change in domain

  • m = (1350 - 1500)/(2 - 0) = - 150/2 = -75

As per the first point, we have y-intercept of 1500, when x = 0

<u>So the function is:</u>

  • g(x) = - 75x + 1500

or

  • y = -75x + 1500
<h3>Part B</h3>

Slope-intrcept form is given above

<u>Point-slope form:</u>

  • y - y1 = m(x-x1)

This can be found as per above formula by using a pair of coordinates of one of the points or converted from slope-intercept form:

  • y - 1500 = - 75(x - 0)
  • y - 1500 = -75x

<u>Standard form:</u>

  • Ax + By = C

<u>Converting from the previous equation:</u>

  • y + 75x = 1500
<h3>Part C</h3>

The function notation is same as slope-intercept form, where y is substituted with f(x), g(x) or any other notation:

  • g(x) = -75x + 1500
<h3>Part D</h3>

Balance after 5 days

  • x = 5, g(x) = ?
  • g(5) = -75*5 + 1500 = 1125

After 5 days the balance is going to be $1125

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