Proportionality>Giving Examples of Rates as Quotients of Quantities with Different Attributes(TEKS.Math.6.4.D)
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Texas 6th Grade Math › Proportionality>Giving Examples of Rates as Quotients of Quantities with Different Attributes(TEKS.Math.6.4.D)
A printer prints 45 pages in 3 minutes. What is the unit rate in pages per minute?
15 pages/minute
3 minutes/page
48 pages/minute
12 pages/minute
Explanation
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 store sells 5 pounds of oranges for 7.50 dollars. What is the unit rate in dollars per pound?
5 dollars/pound
12.5 dollars/pound
1.50 dollars/pound
0.67 pounds/dollar
Explanation
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.
Maria walks 2 miles in 30 minutes. Express this rate as a quotient for miles per minute and find the unit rate.
15 miles/minute
$\frac{1}{15}$ miles/minute
32 miles/minute
$\frac{30}{2}$ minutes/mile
Explanation
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 faucet fills 8 liters in 2 minutes. What is the unit rate in liters per minute?
10 liters/minute
0.25 minutes/liter
2 liters/minute
4 liters/minute
Explanation
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 car travels 180 miles using 6 gallons of gas. What is the unit rate in miles per gallon?
30 miles/gallon
0.033 gallons/mile
20 miles/gallon
6 miles/180 gallons
Explanation
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.