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.
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?
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 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?
Graph: minutes across from 0 to 2, ticks every 1/4; feet up from 0 to 2, ticks every 1/4. A straight line starts at (0, 0) and goes through the marked point (3/4, 9/10). Graph: minutes across from 0 to 2, ticks every 1/4; feet up from 0 to 2, ticks every 1/4. A straight line starts at (0, 0) and goes through the marked point (3/4, 9/10). 0 1/4 1/2 3/4 1 5/4 3/2 7/4 2 0 1/4 1/2 3/4 1 5/4 3/2 7/4 2 minutes feet 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?
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?
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?
Jun's line goes through (0, 0) and (8, 16), with minutes across and pages up. Jun's line goes through (0, 0) and (8, 16), with minutes across and pages up. 0 1 2 3 4 5 6 7 8 0 2 4 6 8 10 12 14 16 minutes pages 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 = x − 39
- y = 6x
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
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