Graph a steady rate: the unit rate is the slope

Grade 8 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

  1. 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?

  2. 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?

  3. 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?

  4. 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
  5. Pia's hike is a graph through the marked point (4, 10). Tala's hike covers 15 miles in 6 hours, steadily. Which graph is steeper, or are they equally steep? Hours across, miles up.

    • Pia's line
    • Tala's line
    • They are equally steep
  6. 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?

    • They are equally steep
    • Bo's line
    • Ari's line
  7. Kira's tub line has slope 5/3. Its graph shows minutes across and gallons up. Which sentence says what the slope means?

    • The line starts at 5/3 gallons
    • 5/3 gallons in all
    • 5/3 gallons for each 1 minute
    • 5/3 minutes for each 1 gallon
  8. 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
  9. 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 = x − 2
    • y = 6x
    • y = 3x ÷ 4
    • y = 4x ÷ 3
  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
    • They are equally steep
    • Zee's line
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Graph a steady rate: the unit rate is the slope

Answer Key - Grade 8 Math Worksheet

Circle the best answer, or write your answer on the line.

  1. 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?

    5/2
  2. 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?

    2/3
  3. 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?

    12 1/2
  4. 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
  5. Pia's hike is a graph through the marked point (4, 10). Tala's hike covers 15 miles in 6 hours, steadily. Which graph is steeper, or are they equally steep? Hours across, miles up.

    • Pia's line
    • Tala's line
    • They are equally steep
  6. 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?

    • They are equally steep
    • Bo's line
    • Ari's line
  7. Kira's tub line has slope 5/3. Its graph shows minutes across and gallons up. Which sentence says what the slope means?

    • The line starts at 5/3 gallons
    • 5/3 gallons in all
    • 5/3 gallons for each 1 minute
    • 5/3 minutes for each 1 gallon
  8. 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
  9. 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 = x − 2
    • y = 6x
    • y = 3x ÷ 4
    • y = 4x ÷ 3
  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
    • They are equally steep
    • Zee's line