Graph a steady rate: the unit rate is the slope
Grade 8 Math Worksheet
Circle the best answer, or write your answer on the line.
Kira hikes up a trail at a steady pace and counts every trail sign. The graph shows hours and miles. What is the slope of the line, in miles per hour?
A garden snail crosses Milo's patio at a steady pace and takes the scenic route. The graph shows minutes and inches. What is the slope of the line, in inches per minute?
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Use the table
minutes gallons 2 7 4 14 6 21 Ren's bathtub fills at a steady rate, and the rubber duck bobs up. The table shows minutes and gallons. What is the slope, in gallons per minute?
The miles Tala bikes vary directly with the hours, and there are no hills. Tala bikes 34 miles in 4 hours. How many miles does Tala bike in 10 hours?
The pages Zee reads vary directly with the minutes, and the story is a page-turner. Zee reads 12 pages in 8 minutes. How many pages does Zee read in 14 minutes?
The height a sunflower grows varies directly with the days, and Bo measures it every morning. It grows 5 inches in 4 days. How many inches does it grow in 10 days?
Esme's biscuit line has slope 7/4. Its graph shows batches across and cups of flour up. Which sentence says what the slope means?
- The line starts at 7/4 cups
- 7/4 batches for each 1 cup
- 7/4 cups for each 1 batch
- 7/4 cups in all
Luz's printer graph is a straight line through (0, 0) and (6, 10), with x in minutes and y in pages. Which rule matches the line?
- y = 5x ÷ 3
- y = 3x ÷ 5
- y = x + 4
- y = 10x
Noah fills a tub at a steady rate. The line goes through (0, 0) and (4, 14), with x in minutes and y in gallons. Which rule matches the line?
- y = 2x ÷ 7
- y = 7x ÷ 2
- y = 14x
- y = x + 10
Zee's scooter table has the row 5 | 15. Jun's scooter graph has the marked point (4, 8). Both are steady, minutes across and blocks up. Which line is steeper, or are they equally steep?
- Jun's line
- Zee's line
- They are equally steep