Final answer:
The equivalent expression to 10q is 5q + 10, because 5 quarts multiplied by the conversion factor of 2 pints per quart equals 10 pints, which aligns with the given expression 10q.
Step-by-step explanation:
The student's question asks which expression is equivalent to the given expression 10q. To find an equivalent expression, we should look for an expression that represents the same value as 10q.
Looking at the conversion given, 1 quart is equivalent to 2 pints. When we are told that 5 quarts is equal to 10 pints, we multiply the quantity in quarts (5) by the conversion factor (2) to get the quantity in pints (10). Applying this to the expressions, we can see that 10q would be equivalent to the expression 5 quarts multiplied by 2, which gives us the same 10 pints (10q).
Therefore, the equivalent expression to 10q provided by the student would be option 5) 5q + 10, since this directly translates to the calculation we did of 5 quarts times the conversion factor of 2 to get 10 pints (or 10q).