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Each car rental agency charges p dollars per mile driven, plus a flat fee of f dollars for each car rented. How many dollars does it cost to rent two cars, one driven m miles and the other driven n miles?

Explanation	Calculations	Help
$We translate the phrase "p dollars per mile driven" into its mathematical expression.$	$Cost of first car = p \times m$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We add the flat fee by translating "plus a flat fee of f dollars" .$	$Cost of first car = p \times m + f$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We apply the same translation for the second car.$	$Cost of second car = p \times n + f$	Theory & Tactics Method Card TRANS3-B Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We sum the costs of the two cars.$	$Total cost = (p \times m + f) + (p \times n + f)$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We combine like terms by adding the two f-terms and factoring the p-terms.$	$Total cost = 2 f + p (m + n)$

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C

Each car rental agency charges p dollars per mile driven, plus a flat fee of f dollars for each car rented. How many dollars does it cost to rent two cars, one driven m miles and the other driven n miles?

Explanation	Calculations	Help
$We translate the phrase "p dollars per mile driven" into its mathematical expression.$	$Cost of first car = p \times m$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We add the flat fee by translating "plus a flat fee of f dollars" .$	$Cost of first car = p \times m + f$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We apply the same translation for the second car.$	$Cost of second car = p \times n + f$	Theory & Tactics Method Card TRANS3-B Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We sum the costs of the two cars.$	$Total cost = (p \times m + f) + (p \times n + f)$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We combine like terms by adding the two f-terms and factoring the p-terms.$	$Total cost = 2 f + p (m + n)$

Scroll horizontally to view all columns

C