$\"\"$

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From the information, write the time in minutes as x - coordinate and the night rate cost in dollars as y - coordinate.

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From the information, the two points are $\"\"$ .

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Substitute the values of $\"\"$ in the slope formula $\"\"$ .

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$\"\"$ .

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To write the line equation, we can use either of the two given points.

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Consider the point $\"\"$ . $\"\"$

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Substitute $\"\"$ in point-slope form equation or $\"\"$ .

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$\"\"$

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Apply distributive property: $\"\"$ .

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$\"\"$

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$\"\"$

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Add 2.65 to each side.

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$\"\"$

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$\"\"$ $\"\"$

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The line equation is $\"\"$ .

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Substitute the value of $\"\"$ in the above equation.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ . $\"\"$

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The solution is 11.75 dollars.