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. Tala's tub fills at a steady rate, and the bubbles are getting out of hand. Points A and B are marked on its graph. What is the slope of the line, in gallons per minute?

  2. Zee's snail makes steady progress across the garden. Two points, A and B, are marked on its graph. What is the slope of the line, in inches per minute?

  3. 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?

  4. 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?

  5. The miles Kira hikes vary directly with the hours. Kira hikes 7 miles in 3 hours, and the trail is 21 miles long. How many hours does the whole trail take?

  6. Kira's scooter table has the row 5 | 14. Zee's scooter graph passes through (4, 6). Both are steady, with minutes and blocks. How many more blocks per minute does Kira go?

  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. Pia's candle burns down at a steady rate. The line goes through (0, 0) and (5/6, 3/4), with x in hours and y in inches burned. Which rule matches the line?

    • y = 3x ÷ 4
    • y = 10x ÷ 9
    • y = x − 1/12
    • y = 9x ÷ 10
  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
    • 1/5 minute for each 1 block
    • 1/5 block for each 1 minute
    • The line starts at 1/5 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?

    • 1/20 minute for each 1 page
    • 1/20 minute in all
    • The line starts at 1/20 minute
    • 1/20 page for each 1 minute
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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. Tala's tub fills at a steady rate, and the bubbles are getting out of hand. Points A and B are marked on its graph. What is the slope of the line, in gallons per minute?

    11/4
  2. Zee's snail makes steady progress across the garden. Two points, A and B, are marked on its graph. What is the slope of the line, in inches per minute?

    5/6
  3. 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
  4. 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
  5. The miles Kira hikes vary directly with the hours. Kira hikes 7 miles in 3 hours, and the trail is 21 miles long. How many hours does the whole trail take?

    9
  6. Kira's scooter table has the row 5 | 14. Zee's scooter graph passes through (4, 6). Both are steady, with minutes and blocks. How many more blocks per minute does Kira go?

    13/10
  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. Pia's candle burns down at a steady rate. The line goes through (0, 0) and (5/6, 3/4), with x in hours and y in inches burned. Which rule matches the line?

    • y = 3x ÷ 4
    • y = 10x ÷ 9
    • y = x − 1/12
    • y = 9x ÷ 10
  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
    • 1/5 minute for each 1 block
    • 1/5 block for each 1 minute
    • The line starts at 1/5 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?

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