Diane works at a gardening store, and today she is helping assemble gas trimmers to be sold. An employee from an earlier shift already assembled 7 trimmers, and Diane can assemble 4 trimmers per hour.

Write an equation that shows how the total number of trimmers assembled, y, depends on the number of hours Diane spends assembling them, x.

y = _______

Respuesta :

Answer:4x+7

Step-by-step explanation:

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The linear function for the number of trimmers assembled is:

y = 7 + 4x.

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A linear function has the following format:

[tex]y = ax + b[/tex]

In which:

  • a is the rate of change.
  • b is the fixed amount.

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  • In an earlier shift, 7 trimmers had already been produced, thus 7 is the fixed amount, that is, [tex]b = 7[/tex].
  • Diane assembles 4 trimmers per hour, thus the rate of change is 4, that is, [tex]a = 4[/tex]
  • The amount of trimmers y produced after x hours is given by:

[tex]y(x) = 4x + 7[/tex]

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