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. Pia's walking club moves at a steady pace. Two points, A and B, are marked on its graph. What is the slope of the line, in miles per hour?

  2. 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?

  3. 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?

  4. Esme strolls along a lake at a steady pace and stops to admire a duck. The graph shows hours and miles. What is the slope of the line, in miles per hour?

  5. 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?

  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. 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?

  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 = 10x ÷ 9
    • y = 9x ÷ 10
    • y = x − 1/12
    • y = 3x ÷ 4
  9. 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
  10. Tala's bike graph has miles across and hours up. Its line has slope 1/8. Which sentence says what the slope means?

    • 1/8 mile for each 1 hour
    • 1/8 hour for each 1 mile
    • 1/8 hour in all
    • The line starts at 1/8 hour
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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. Pia's walking club moves at a steady pace. Two points, A and B, are marked on its graph. What is the slope of the line, in miles per hour?

    8/3
  2. 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
  3. 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
  4. Esme strolls along a lake at a steady pace and stops to admire a duck. The graph shows hours and miles. What is the slope of the line, in miles per hour?

    1.6
  5. 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
  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. 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
  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 = 10x ÷ 9
    • y = 9x ÷ 10
    • y = x − 1/12
    • y = 3x ÷ 4
  9. 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
  10. Tala's bike graph has miles across and hours up. Its line has slope 1/8. Which sentence says what the slope means?

    • 1/8 mile for each 1 hour
    • 1/8 hour for each 1 mile
    • 1/8 hour in all
    • The line starts at 1/8 hour