Graph a steady rate: the unit rate is the slope
Grade 8 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
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?
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?
Graph: minutes across from 0 to 16, ticks every 2; gallons up from 0 to 40, ticks every 5. A straight line through (0, 0), with only two points marked: A (4, 11) and B (12, 33). Graph: minutes across from 0 to 16, ticks every 2; gallons up from 0 to 40, ticks every 5. A straight line through (0, 0), with only two points marked: A (4, 11) and B (12, 33). 0 2 4 6 8 10 12 14 16 0 5 10 15 20 25 30 35 40 minutes gallons A B 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?
Graph: hours across from 0 to 1, ticks every 1/4; miles up from 0 to 2, ticks every 1/4. A straight line starts at (0, 0) and goes through the marked point (1/4, 9/8). Graph: hours across from 0 to 1, ticks every 1/4; miles up from 0 to 2, ticks every 1/4. A straight line starts at (0, 0) and goes through the marked point (1/4, 9/8). 0 1/4 1/2 3/4 1 0 1/4 1/2 3/4 1 5/4 3/2 7/4 2 hours miles 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?
Graph: hours across from 0 to 1, ticks every 0.25; miles up from 0 to 1, ticks every 0.25. A straight line starts at (0, 0) and goes through the marked point (0.5, 0.8). Graph: hours across from 0 to 1, ticks every 0.25; miles up from 0 to 1, ticks every 0.25. A straight line starts at (0, 0) and goes through the marked point (0.5, 0.8). 0 0.25 0.5 0.75 1 0 0.25 0.5 0.75 1 hours miles 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?
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?
Kira's table (minutes | blocks) has the row 5 | 14 and starts at (0, 0). Zee's line goes through (0, 0) and (4, 6). Kira's table (minutes | blocks) has the row 5 | 14 and starts at (0, 0). Zee's line goes through (0, 0) and (4, 6). Kira's table (minutes | blocks) minutes blocks 0 0 5 14 Zee's line 0 1 2 3 4 0 1 2 3 4 5 6 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?
Luz's line goes through (0, 0) and (4, 6), with days across and inches up. Luz's line goes through (0, 0) and (4, 6), with days across and inches up. 0 1 2 3 4 5 6 0 1 2 3 4 5 6 7 8 days inches 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?
Graph: pages (x) across, minutes (y) up. A straight line from (0, 0) through the marked point (45, 6). Graph: pages (x) across, minutes (y) up. A straight line from (0, 0) through the marked point (45, 6). 0 5 10 15 20 25 30 35 40 45 0 1 2 3 4 5 6 pages minutes - y = 2x ÷ 15
- y = 15x ÷ 2
- y = 6x
- y = x − 39
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 hour for each 1 mile
- The line starts at 1/8 hour
- 1/8 hour in all
- 1/8 mile for each 1 hour
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 block for each 1 minute
- 1/5 minute for each 1 block