Graph a steady rate: the unit rate is the slope

Answer Key - Grade 8 Math Worksheet

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

1. 1.

   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?

   0.8

2. Read this first

   Use the table

   hours	inches
   6	2
   15	5
   21	7

3. 2.

   Pia's rain gauge fills during a steady shower, and the ducks look thrilled. The table shows hours and inches of rain. What is the slope, in inches per hour?

   1/3
4. 3.

   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?

   85
5. 4.

   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.

   • Pia's line
   • Tala's line
   • They are equally steep
6. 5.

   Ari's reading table has the row 8 | 14. Bo's reading graph has the marked point (3, 6). Both are steady, minutes across and pages up. Which line is steeper, or are they equally steep?

   • Bo's line
   • Ari's line
   • They are equally steep
7. 6.

   Esme's biscuit line has slope 7/4. Its graph shows batches across and cups of flour up. Which sentence says what the slope means?

   • 7/4 cups for each 1 batch
   • 7/4 batches for each 1 cup
   • 7/4 cups in all
   • The line starts at 7/4 cups
8. 7.

   Kira's tub line has slope 5/3. Its graph shows minutes across and gallons up. Which sentence says what the slope means?

   • The line starts at 5/3 gallons
   • 5/3 gallons for each 1 minute
   • 5/3 gallons in all
   • 5/3 minutes for each 1 gallon
9. 8.

   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 = x − 2
   • y = 4x ÷ 3
   • y = 6x
   • y = 3x ÷ 4
10. 9.

    Noah fills a tub at a steady rate. The line goes through (0, 0) and (4, 14), with x in minutes and y in gallons. Which rule matches the line?

    • y = x + 10
    • y = 2x ÷ 7
    • y = 14x
    • y = 7x ÷ 2
11. 10.

    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
    • Jun's line
    • Zee's line