The function g(x) = 10.73 + 8.14(x - 1) represents the charge for parking at the airport for x number of days. Which statement best represents the formula for this charge?

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Answer:

This function states that the first hour has a fixed cost of 10.75.

Then, every additional hour has an additional cost of $8.14.

Step-by-step explanation:

The given function is

[tex]g(x)=10.75+8.14(x-1)[/tex]

The statements that best represent the formula are:

  • This function states that the first hour has a fixed cost of 10.75.
  • Then, every additional hour has an additional cost of $8.14.

You can deduct that from the formula, because [tex]x[/tex] represents hour, so for [tex]x=1[/tex], we have

[tex]g(0)=10.75+8.14(1-1)=10.75[/tex]

Which means 1 hour costs $10.75.

Then, for [tex]x=2[/tex]

[tex]g(2)=10.75+8.14(2-1)=10.75+8.14=18.89[/tex]

Which means an additional hour cost $8.14 additionally.

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