Question

select all of the stories that can be represented by the equation. if none of the stories can be represented, select
one of the above\. (a) 24x - 48 = 456 a rental car company charges x dollars per day. this month, there is also a discount of $24 off the entire rental fee. lashonda rented a car for 48 days. she paid a total of $456 after the discount. a rental car company charges x dollars per day. this month, there is also a discount of $48 off the entire rental fee. lashonda rented a car for 24 days. she paid a total of $456 after the discount. a rental car company charges $48 per day. this month, there is also a discount of $24 off the entire rental fee. lashonda rented a car for x days. she paid a total of $456 after the discount. a rental car company charges $24 per day. this month, there is also a discount of $48 off the entire rental fee. lashonda rented a car for x days. she paid a total of $456 after the discount. none of the above

Explanation:

Step1: Analyze the equation structure

The equation is \(24x - 48=456\), which implies a cost - per - unit (\(x\)) times a quantity (\(24\)) with a subtraction of a fixed discount amount (\(48\)) resulting in a total cost (\(456\)).

Step2: Evaluate each story

Story 1

If the company charges \(x\) dollars per day, there is a \(\$24\) discount, and she rented for \(48\) days, the equation should be \(48x-24 = 456\), so this is incorrect.

Story 2

If the company charges \(x\) dollars per day, there is a \(\$48\) discount, and she rented for \(24\) days, the equation is \(24x-48 = 456\), which matches the given equation.

Story 3

If the company charges \(\$48\) per day, the equation should be \(48x - 24=456\), so this is incorrect.

Story 4

If the company charges \(\$24\) per day, the equation is \(24x-48 = 456\), which matches the given equation.

Answer:

A rental car company charges \(x\) dollars per day. This month, there is also a discount of \(\$48\) off the entire rental fee. Lashonda rented a car for 24 days. She paid a total of \(\$456\) after the discount.
A rental car company charges \(\$24\) per day. This month, there is also a discount of \(\$48\) off the entire rental fee. Lashonda rented a car for \(x\) days. She paid a total of \(\$456\) after the discount.