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8. Jackie is creating a spreadsheet to keep a record of amounts she has collected
from customers for candy boxes she has sold to them. She must write a linear
equation in two variables to represent the amount collected in terms of
number of boxes sold. She has been using the table below to determine the
amount to charge.

Which linear equation in two variables can Jackie used to represent the amount of collected in terms of number boxes sold in her spread sheet?

A. y=5.5x+6.75

B.y=13.5x-1.25

C.y=13.5x+12.25

D.y=6.75x+5.5

8 Jackie is creating a spreadsheet to keep a record of amounts she has collected from customers for candy boxes she has sold to them She must write a linear equ class=

Respuesta :

mhanifa

Answer:

  • D. y = 6.75x + 5.5

Step-by-step explanation:

The slope intercept form:

  • y = mx + b, where m- slope, b- y-intercept

Use two ordered pairs from the table and work out the equation.

  • (1, 12.25) and (3, 25.75)

Find the slope:

  • m = (y₂ - y₁)/(x₂ - x₁)
  • m = (25.75 - 12.25)/(3 - 1) = 13.5/2 = 6.75

Find the y- intercept:

  • 12.25 = 6.75*1 + b
  • b = 12,25 - 6.75
  • b = 5.5

The equation is:

  • y = 6.75x + 5.5

Correct choice is D
  • (1,12.25)
  • (3,25.75)

Slope

  • m=(25.75-12.25)/3-1
  • m=6.75

Equation in point slope form

  • y-12.25=6.75(x-1)
  • y=6.75x+5.5

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