Giving Examples of Rates as Quotients of Quantities with Different Attributes(TEKS.Math.6.4.D)

A rate compares different attributes by division. Compute the unit rate by dividing pages by minutes: $45 \div 3 = 15$. As a quotient, that is $\frac{45}{3}$ pages per minute, so 15 pages/minute.

A rate compares different attributes by division. Dollars per pound means divide dollars by pounds: $7.50 \div 5 = 1.50$. As a quotient, $\frac{7.50}{5}$ dollars per pound, so 1.50 dollars/pound.

Rates compare different attributes by division. Miles per minute is $\frac{2}{30}$, which simplifies to $\frac{1}{15}$ miles/minute. This is the unit rate.

A rate compares different attributes by division. Liters per minute is $8 \div 2 = 4$. As a quotient, $\frac{8}{2}$ liters per minute, so 4 liters/minute.

A rate compares different attributes by division. Miles per gallon is $180 \div 6 = 30$. As a quotient, $\frac{180}{6}$ miles per gallon, so 30 miles/gallon.