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: Part A: Find and interpert the slope of the function.

Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms.

Part C: Write the equation of the line using function notation.

Part D: What is the balance in the bank account after 5 days.

9514 1404 393

  A) -75, the change in balance per day

  B)

  C) g(x) = -75x +1500

  D) $1,125

Step-by-step explanation:

Part A:

The slope can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (1350 -1500)/(2 -0) = -150/2

  m = -75

The slope of -75 is the average change in the bank balance each day. It means the balance is decreasing at the rate of $75 per day.

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Part B:

In point-slope form, the equation of the line is ...

  y -y1 = m(x -x1) . . . . . line with slope m through point (x1, y1)

Here, we have m = -75 and (x1, y1) = (0, 1500), so the equation is ...

  y -1500 = -75(x -0) . . . . . . point-slope form

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We can add 1500 and simplify to get to slope-intercept form:

  y = -75x +1500 . . . . . . slope-intercept form

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We can add 75x to put this in standard form.

  75x +y = 1500 . . . . . . standard form

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Part C:

Function notation replaces y with g(x):

  g(x) = -75x +1500

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Part D:

The balance after 5 days is the value of the function for x=5. (It will be $75 less than the balance after 4 days as given in the table.)

  g(5) = -75·5 +1500 = 1125

The balance after 5 days is $1,125.

step-by-step explanation:

your mom

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it