Graph a steady rate: the unit rate is the slope
Grade 8 Math Worksheet
Circle the best answer, or write your answer on the line.
Kira hikes up a trail at a steady pace and counts every trail sign. The graph shows hours and miles. What is the slope of the line, in miles per hour?
A garden snail crosses Milo's patio at a steady pace and takes the scenic route. The graph shows minutes and inches. What is the slope of the line, in inches per minute?
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Use the table
hours inches 2 3 6 9 8 12 Noah knits a scarf at a steady pace while a ball of yarn rolls away. The table shows hours and inches of scarf. What is the slope, in inches per hour?
The miles Tala bikes vary directly with the hours, and there are no hills. Tala bikes 34 miles in 4 hours. How many miles does Tala bike in 10 hours?
The quarts in Ari's bathtub vary directly with the minutes the circle runs. It adds 9 quarts in 4 minutes. How many quarts does it add in 10 minutes?
Pia's hike is a graph through the marked point (4, 10). Tala's hike covers 15 miles in 6 hours, steadily. Which graph is steeper, or are they equally steep? Hours across, miles up.
- Tala's line
- Pia's line
- They are equally steep
Kira's tub line has slope 5/3. Its graph shows minutes across and gallons up. Which sentence says what the slope means?
- 5/3 gallons for each 1 minute
- 5/3 gallons in all
- The line starts at 5/3 gallons
- 5/3 minutes for each 1 gallon
Luz's printer graph is a straight line through (0, 0) and (6, 10), with x in minutes and y in pages. Which rule matches the line?
- y = 10x
- y = 5x ÷ 3
- y = 3x ÷ 5
- y = x + 4
Milo's snail crawls at a steady pace. The line goes through (0, 0) and (8, 6), with x in minutes and y in inches. Which rule matches the line?
- y = 6x
- y = 3x ÷ 4
- y = 4x ÷ 3
- y = x − 2
Zee's scooter table has the row 5 | 15. Jun's scooter graph has the marked point (4, 8). Both are steady, minutes across and blocks up. Which line is steeper, or are they equally steep?
- They are equally steep
- Zee's line
- Jun's line