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3. Bryce mows lawns to make some extra money. He charges $15 per lawn. Bryce will
only mow up to 6 yards a day. What is the reasonable domain and range for this
situation?


Sagot :

The domain and range of a function is the set of input and output values, the function can take.

  • The domain is [0,6]
  • The range is [0,90]

From the question, we have:

[tex]\mathbf{Rate = \$15}[/tex]

The domain

He cannot mow more than 6 yards a day.

This means that the domain is: 0 to 6

This is properly represented as: [0,6]

The range

When he mows 0 yards, his earnings is:

[tex]\mathbf{Earnings = 0 \times \$15 = \$ 0}[/tex]

When he mows 6 yards, his earnings is:

[tex]\mathbf{Earnings = 6 \times \$15 = \$ 90}[/tex]

This means that the range is: 0 to 90

This is properly represented as: [0,90]

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