Graph a steady rate: the unit rate is the slope

Answer Key - Grade 8 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   With the arrow ÷ 4 beside both columns. Ari's printer prints 100 pages in 4 minutes, while a very proud stapler watches. The table's next row is ÷ 4. What is the slope, in pages per minute?

   25
2. 2.

   With the arrow ÷ 8 beside both columns. Esme fills the tub with 24 gallons in 8 minutes and adds extra bubbles. The table's next row is ÷ 8. What is the slope, in gallons per minute?

   3
3. 3.

   Kira's reading graph is a straight line. A slope triangle under it has run 8 minutes and rise 32 pages. What is the slope, in pages per minute?

   4
4. 4.

   Noah's turtle plods down a path at a steady pace. The slope triangle under its graph has run 20 minutes and rise 5 yards. What is the slope, in yards per minute?

   1/4
5. 5.

   Pia rides a bike path at a steady speed and rings the bell at every bridge. The graph shows hours and miles. What is the slope of the line, in miles per hour?

   8
6. 6.

   Ren scoots to school at a steady pace and says hi to every mailbox. The graph shows minutes and blocks. What is the slope of the line, in blocks per minute?

   3
7. 7.

   Tala's candle burns down at a steady rate while the room smells like cookies. The graph shows hours and inches burned. What is the slope of the line, in inches per hour?

   1/2
8. 8.

   Zee weaves a rug at a steady speed, with a very interested pet cat nearby. The graph shows hours and inches woven. What is the slope of the line, in inches per hour?

   6
9. 9.

   Ari's bike line has slope 12. Its graph shows hours across and miles up. Which sentence says what the slope means?

   • 12 miles for each 1 hour
   • 12 miles in all
   • 12 hours for each 1 mile
   • The line starts at 12 miles
10. 10.

    Jun's reading line has slope 2. Its graph shows minutes across and pages up. Which sentence says what the slope means?

    • 2 pages in all
    • 2 minutes for each 1 page
    • The line starts at 2 pages
    • 2 pages for each 1 minute