Use the fit line's equation to predict, and say what its slope and intercept mean

Answer Key - Grade 8 Math Worksheet

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

1. 1.

   Kira's fit line for bean plants is y = 2.5x + 12, with x in days and y in cm. About how tall does it predict a plant is on day 8, in cm?

   32
2. 2.

   Luz's bike fit line is y = 0.6x + 5 (x in minutes, y in km). The data stop at 35 minutes. If the pattern keeps going, about how far is a 40-minute ride?

   29
3. 3.

   Milo's jump model is y = 1.2x + 20 (x: weeks of training, y: jumps per minute). Data end at week 45. If the pattern keeps going, about how many jumps at week 50?

   80
4. 4.

   Noah's class model for shoe length (x) and height (y), both in cm, is y = 6.5x + 4. About how tall does it predict a person with a 24 cm shoe is, in cm?

   160
5. 5.

   Pia's team drew a fit line through (2, 30) and (10, 70) on its practice plot. For each 1 more minute of practice, about how many more points does the line show?

   5
6. 6.

   Zee's baking club fit line goes through (10, 40) and (40, 100). For each 1 more minute of baking, about how many millimeters taller does the line show?

   2
7. 7.

   Ari's class fit y = 3x + 15 to hours of practice (x) and quiz score (y). What does the 15 mean, if anything?

   • The 15 means a student with 0 hours of practice tends to score about 15.
   • The 15 has no real meaning here, because no one practices 0 hours.
   • The 15 means the score tends to go up about 15 points for each extra hour.
8. 8.

   Bo's club fit y = 1.5x + 6 to days since seedlings were moved outside (x) and height in cm (y). What does the 6 mean, if anything?

   • The 6 means a seedling tends to be about 6 cm tall the day it goes outside.
   • The 6 has no real meaning here, because no seedling is outside for 0 days.
   • The 6 means a seedling tends to grow about 6 cm each day.
9. 9.

   Esme's class fit y = 6.5x + 4 to shoe length (x) and height (y), both in cm. What does the 4 mean, if anything?

   • The 4 has no real meaning here, because no one has a shoe length of 0 cm.
   • The 4 means a person with a shoe length of 0 cm tends to be about 4 cm tall.
   • The 4 means height tends to go up about 4 cm for each extra centimeter of shoe.
10. 10.

    Jun fit y = 0.5x + 2 to park trees: trunk width in cm (x) and height in meters (y). What does the 2 mean, if anything?

    • The 2 means a tree with a trunk 0 cm wide tends to be about 2 meters tall.
    • The 2 has no real meaning here, because no tree has a trunk 0 cm wide.
    • The 2 means a tree tends to grow about 2 meters taller for each extra centimeter of width.