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Things are usually pretty uneventful during the day in the reptile building as the snakes prefer their beauty sleep, but the critters are stirring as they sense freedom. The python is the first one to leave her cage, and she begins to slowly slither towards the exit at a pace of 1 mile per hour. The anaconda decides to snooze for another 30 minutes before beginning the long trek ahead. He leaves his cage after the python has already traveled half a mile, and he slithers at a pace of 5 miles per hour. Write an equation to represent this scenario letting x represent the number of hours it would take.



Answer :

The linear functions that model the positions of the Python and of the Anaconda are given as follows:

  • P(x) = 0.5 + x.
  • A(x) = 5x.

What is a linear function?

A linear function is modeled by the following rule:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, the change in y divided by the change in x.
  • b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.

For the functions in this problem, we have that:

  • The initial position is the intercept.
  • The velocity is the slope.

Considering their velocities, and that when the Anaconda leaves the Python has already traveled half a mile, the functions are given as follows:

  • P(x) = 0.5 + x.
  • A(x) = 5x.

More can be learned about linear functions at https://brainly.com/question/24808124

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