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. 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. 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?

  3. Read this first

    Use the table

    hoursinches
    62
    155
    217
  4. Pia's rain gauge fills during a steady shower, and the ducks look thrilled. The table shows hours and inches of rain. What is the slope, in inches per hour?

  5. 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?

  6. 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
  7. 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
    • Ari's line
    • Bo's line
  8. 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 minutes for each 1 gallon
    • 5/3 gallons for each 1 minute
    • 5/3 gallons in all
  9. 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 = x + 4
    • y = 3x ÷ 5
    • y = 5x ÷ 3
    • y = 10x
  10. 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 = 6x
    • y = 3x ÷ 4
    • y = x − 2
    • y = 4x ÷ 3
  11. 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 = 14x
    • y = x + 10
    • y = 2x ÷ 7
    • y = 7x ÷ 2
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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. 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
  2. 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?

    0.8
  3. Read this first

    Use the table

    hoursinches
    62
    155
    217
  4. Pia's rain gauge fills during a steady shower, and the ducks look thrilled. The table shows hours and inches of rain. What is the slope, in inches per hour?

    1/3
  5. 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
  6. 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
  7. 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
    • Ari's line
    • Bo's line
  8. 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 minutes for each 1 gallon
    • 5/3 gallons for each 1 minute
    • 5/3 gallons in all
  9. 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 = x + 4
    • y = 3x ÷ 5
    • y = 5x ÷ 3
    • y = 10x
  10. 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 = 6x
    • y = 3x ÷ 4
    • y = x − 2
    • y = 4x ÷ 3
  11. 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 = 14x
    • y = x + 10
    • y = 2x ÷ 7
    • y = 7x ÷ 2