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An online subscription service charges u dollars per month for its premium plan, plus an activation fee of a dollars for each new subscription. If a customer takes out two separate subscriptions—one lasting p months and the other lasting q months—how many dollars will the customer pay in total?

Explanation	Calculations	Help
$We translate the monthly cost for the first subscription by applying the pricing formula, based on "u dollars per month" and "p months", where unit cost times quantity gives total cost.$	$Cost of first subscription = u \times p$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We add the activation fee based on "activation fee of a dollars for each new subscription" .$	$Cost of first subscription = u \times p + a$	Theory & Tactics Method Card TRANS1-C Click to view full details
$By the same logic, the cost for the second subscription lasting q months is the per-month cost plus the activation fee.$	$Cost of second subscription = u \times q + a$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We sum the costs of the two subscriptions to get the total cost.$	$Total cost = (u \times p + a) + (u \times q + a)$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We combine like terms by adding the two u-terms and the two a-terms.$	$Total cost = 2 a + u (p + q)$

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C

An online subscription service charges u dollars per month for its premium plan, plus an activation fee of a dollars for each new subscription. If a customer takes out two separate subscriptions—one lasting p months and the other lasting q months—how many dollars will the customer pay in total?

Explanation	Calculations	Help
$We translate the monthly cost for the first subscription by applying the pricing formula, based on "u dollars per month" and "p months", where unit cost times quantity gives total cost.$	$Cost of first subscription = u \times p$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We add the activation fee based on "activation fee of a dollars for each new subscription" .$	$Cost of first subscription = u \times p + a$	Theory & Tactics Method Card TRANS1-C Click to view full details
$By the same logic, the cost for the second subscription lasting q months is the per-month cost plus the activation fee.$	$Cost of second subscription = u \times q + a$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We sum the costs of the two subscriptions to get the total cost.$	$Total cost = (u \times p + a) + (u \times q + a)$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We combine like terms by adding the two u-terms and the two a-terms.$	$Total cost = 2 a + u (p + q)$

Scroll horizontally to view all columns

C