Graph a steady rate: the unit rate is the slope

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

1. 1.

   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?

   9/5
2. 2.

   Zee's snail makes steady progress across the garden. Two points, A and B, are marked on its graph. What is the slope of the line, in inches per minute?

   5/6
3. 3.

   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?

   6/5
4. 4.

   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?

   16
5. 5.

   The miles Kira hikes vary directly with the hours. Kira hikes 7 miles in 3 hours, and the trail is 21 miles long. How many hours does the whole trail take?

   9
6. 6.

   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?

   4 4/5
7. 7.

   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?

   • y = 6x
   • y = 15x ÷ 2
   • y = x − 39
   • y = 2x ÷ 15
8. 8.

   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 mile for each 1 hour
   • The line starts at 1/8 hour
   • 1/8 hour in all
   • 1/8 hour for each 1 mile
9. 9.

   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
   • 1/5 minute for each 1 block
   • 1/5 block for each 1 minute
   • The line starts at 1/5 minute
10. 10.

    Ari's printer graph has pages across and minutes up. Its line has slope 1/20. Which sentence says what the slope means?

    • 1/20 page for each 1 minute
    • 1/20 minute for each 1 page
    • The line starts at 1/20 minute
    • 1/20 minute in all