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Just before her party starts, Jane fills a cooler with 80 cups of ice. She also starts filling glasses with ice, 0.8 cups each. Write an equation that shows how the total number of cups of ice used, y, depends on the number of glasses filled, x.

Sagot :

The equation that shows how the total number of cups of ice used, y, depends on the number of glasses filled, x, is [tex]y = 0.8x + 80[/tex]

Linear function

Filling the cooler is an illustration of a linear function

A linear function is represented as: [tex]y = mx + b[/tex]

Where

  • m represents the slope/rate
  • b represents the y-intercept/the initial value
  • x and y are the variables

The equations

By comparison, we have the following parameters

  • [tex]m =0.8[/tex] --- the amount of cups per ice
  • [tex]b = 80[/tex] ---- the initial amount of cup

So, the equation that represents this scenario is

[tex]y = 0.8x + 80[/tex]

Read more about linear functions at:

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