Graph a steady rate: the unit rate is the slope

Grade 8 Math Worksheet - Challenge Me

NameDate

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

  1. Ren's sunflower grows at a steady rate and has a very tall shadow. Two points, A and B, are marked on its graph. What is the slope of the line, in inches per day?

  2. Ari speed-walks at a steady pace. The graph shows hours and miles, with the marked point at only 1/4 hour. What is the slope of the line, in miles per hour?

  3. Bo paints a trim board at a steady pace and gets a splash on the nose. The graph shows minutes and feet, marked at 3/4 minute. What is the slope, in feet per minute?

  4. The pages Jun reads vary directly with the minutes. Jun reads 9 pages in 6 minutes, then wants to read 24 pages. How many minutes does that take?

  5. A circle adds quarts to Luz's bucket in direct variation with the minutes. It adds 5 quarts in 2 minutes. How many minutes does it take to add 12 quarts?

  6. Esme's printer prints 13 pages in 4 minutes. Jun's printer graph passes through (8, 16). Both are steady, with minutes and pages. How many more pages per minute does Esme's printer print?

  7. Ren's bean plant grows 18 inches in 10 days. Luz's bean plant graph passes through (4, 6). Both are steady, with days and inches. How many more inches per day does Ren's plant grow?

  8. Ren's printer graph has pages (x) across and minutes (y) up. The line goes through (0, 0) and (45, 6). Which rule matches the line?

    • y = 2x ÷ 15
    • y = 15x ÷ 2
    • y = x − 39
    • y = 6x
  9. Zee's scooter graph has blocks across and minutes up. Its line has slope 1/5. Which sentence says what the slope means?

    • 1/5 minute in all
    • The line starts at 1/5 minute
    • 1/5 minute for each 1 block
    • 1/5 block for each 1 minute
  10. Ari's printer graph has pages across and minutes up. Its line has slope 1/20. Which sentence says what the slope means?

    • The line starts at 1/20 minute
    • 1/20 page for each 1 minute
    • 1/20 minute in all
    • 1/20 minute for each 1 page
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Graph a steady rate: the unit rate is the slope

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

  1. Ren's sunflower grows at a steady rate and has a very tall shadow. Two points, A and B, are marked on its graph. What is the slope of the line, in inches per day?

    9/5
  2. Ari speed-walks at a steady pace. The graph shows hours and miles, with the marked point at only 1/4 hour. What is the slope of the line, in miles per hour?

    9/2
  3. Bo paints a trim board at a steady pace and gets a splash on the nose. The graph shows minutes and feet, marked at 3/4 minute. What is the slope, in feet per minute?

    6/5
  4. The pages Jun reads vary directly with the minutes. Jun reads 9 pages in 6 minutes, then wants to read 24 pages. How many minutes does that take?

    16
  5. A circle adds quarts to Luz's bucket in direct variation with the minutes. It adds 5 quarts in 2 minutes. How many minutes does it take to add 12 quarts?

    4 4/5
  6. Esme's printer prints 13 pages in 4 minutes. Jun's printer graph passes through (8, 16). Both are steady, with minutes and pages. How many more pages per minute does Esme's printer print?

    5/4
  7. Ren's bean plant grows 18 inches in 10 days. Luz's bean plant graph passes through (4, 6). Both are steady, with days and inches. How many more inches per day does Ren's plant grow?

    3/10
  8. Ren's printer graph has pages (x) across and minutes (y) up. The line goes through (0, 0) and (45, 6). Which rule matches the line?

    • y = 2x ÷ 15
    • y = 15x ÷ 2
    • y = x − 39
    • y = 6x
  9. Zee's scooter graph has blocks across and minutes up. Its line has slope 1/5. Which sentence says what the slope means?

    • 1/5 minute in all
    • The line starts at 1/5 minute
    • 1/5 minute for each 1 block
    • 1/5 block for each 1 minute
  10. Ari's printer graph has pages across and minutes up. Its line has slope 1/20. Which sentence says what the slope means?

    • The line starts at 1/20 minute
    • 1/20 page for each 1 minute
    • 1/20 minute in all
    • 1/20 minute for each 1 page