Number and Operations>Calculating Unit Rates in Mathematical and Real-World Problems(TEKS.Math.7.4.B)
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Texas 7th Grade Math › Number and Operations>Calculating Unit Rates in Mathematical and Real-World Problems(TEKS.Math.7.4.B)
A bakery packs 1,260 cookies in 7 hours. What is the unit rate in cookies per hour?
0.0056 cookies/hour
160 cookies/hour
180 cookies/hour
7 cookies/hour
Explanation
Divide total cookies by hours to get per 1 hour: $1260 \div 7 = 180$, so 180 cookies/hour. Unit rates are useful for comparing production speeds between different days or bakeries.
A school places 252 students into 9 buses. What is the unit rate in students per bus?
28 students/bus
0.036 bus/student
9 students/bus
27 students/bus
Explanation
Divide students by buses to get per 1 bus: $252 \div 9 = 28$, so 28 students/bus. Unit rates help compare how crowded different buses are.
At a market, 3.5 pounds of apples cost $8.75. How much do apples cost per pound?
$8.75 per pound
$2.45 per pound
$0.40 per pound
$2.50 per pound
Explanation
Divide cost by pounds to get per 1 pound: $8.75 \div 3.5 = 2.50$, so $2.50 per pound. Unit price lets you compare costs across different bag sizes or stores.
A cyclist travels 63 miles in 1.5 hours. What is the unit rate in miles per hour?
63 miles/hour
42 miles/hour
0.024 miles/hour
45 miles/hour
Explanation
Divide miles by hours to get per 1 hour: $63 \div 1.5 = 42$, so 42 miles/hour. Unit rates let you compare speeds of different trips fairly.
A printer produces 420 pages in 12 minutes. What is the unit rate in pages per minute?
35 pages/minute
30 pages/minute
0.029 pages/minute
12 minutes/page
Explanation
Divide pages by minutes to get per 1 minute: $420 \div 12 = 35$, so 35 pages/minute. Unit rates help compare printers by their output speed.