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Alyssa is deciding between two truck rental companies. Company A charges an initial fee of $35 for the rental plus $2 per mile driven. Company B charges an initial fee of $100 for the rental plus $1 per mile driven. Let AA represent the amount Company A would charge if Alyssa drives xx miles, and let BB represent the amount Company B would charge if Alyssa drives xx miles. Write an equation for each situation, in terms of x, commax, and determine the number miles driven, x, commax, that would make the cost of each company the same.

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Brainlysahab

Step-by-step explanation:

Let's write the equations for the cost of each company in terms of x, where x represents the number of miles driven:

For Company A:

AA = $35 + $2x

For Company B:

BB = $100 + $1x

To find the number of miles driven, x, that would make the cost of each company the same, we can set AA equal to BB and solve for x:

$35 + $2x = $100 + $1x

Subtracting $1x from both sides:

$2x - $1x = $100 - $35

Simplifying:

$x = $65

Therefore, if Alyssa drives 65 miles, the cost of both Company A and Company B would be the same.

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