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.
Luz paints a long fence at a steady pace, wearing a very splattered hat. The graph shows minutes and feet painted. What is the slope of the line, in feet per minute?
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?
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?
Ari and Luz each bike at a steady speed. Ari's graph has the marked point (3, 36). Luz's table has the row 5 | 45. Which line is steeper, or are they equally steep?
- Ari's line
- They are equally steep
- Luz's line
Ari's reading table has the row 8 | 14. Bo's reading graph has the marked point (3, 6). Both are steady, minutes across and pages up. Which line is steeper, or are they equally steep?
- Ari's line
- They are equally steep
- Bo's line
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 cups in all
- 7/4 batches for each 1 cup
- 7/4 cups for each 1 batch
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 = 10x
- y = 3x ÷ 5
- y = x + 4
Milo's snail crawls at a steady pace. The line goes through (0, 0) and (8, 6), with x in minutes and y in inches. Which rule matches the line?
- y = 4x ÷ 3
- y = 3x ÷ 4
- y = x − 2
- y = 6x
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 = 7x ÷ 2
- y = 14x
- y = x + 10
- y = 2x ÷ 7