Final answer:
The algebraic expression for the amount of acid in x liters of a 65% acid solution is 0.65x. This represents multiplying the total volume x by the decimal form of the percentage concentration of acid, which is 0.65.
Step-by-step explanation:
To write an algebraic expression for the verbal description of 'the amount of acid in x liters of a 65% acid solution,' you would first recognize that the phrase '65% acid solution' means 65% of the total solution is made up of acid. Because percentage calculations are typically based on the value of 100, a 65% solution means that there are 65 units of acid per 100 units of solution.
Now, to express the amount of acid in x liters of this solution, we can set up an expression that multiplies x (the total liters of solution) by 0.65, representing the 65% concentration of acid. Consequently, the algebraic expression is 0.65x.
To clarify, since we are dealing with a percentage, the decimal form of 65% is 0.65. Therefore, the amount of acid (in liters) in x liters of a 65% acid solution is 0.65 multiplied by x.