Compare two relationships shown in different ways
Grade 8 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
A (story): a bottle holds 600 mL and loses 150 mL each hour. On a hike, Jun tracks two water bottles, A and B. Which has the greater rate of change, in mL per hour?
- B is greater: it starts higher, at 900 mL
- A is greater: -150 is greater than -200
- B is greater: 200 is more than 150
In math club, Kira compares two lines, A and B, with no row for x = 0. Which line starts higher (at x = 0)?
- B starts higher: -1 at x = 0, more than -7
- A starts higher: its first row shows -1
- A starts higher: it changes 2 each step
Read this first
A (rule): y = -3x + 5. B
table, x y 2 6 4 4 6 2 In math club, Luz compares two falling lines, A and B. Which line starts higher (at x = 0)?
- A starts higher: it changes 3 each step, more than 1
- B starts higher: 8 at x = 0, more than 5
- They start equally high: both fall
A (story)
a plant is 9 cm at week 2 and 17 cm at week 6. B (rule): y = 0.5x + 6.5.
Milo compares two steady plants, A and B. Which plant started taller (at week 0)?
- A started taller: it grows 2 cm a week
- A started taller: it is 9 cm at week 2
- B started taller: 6.5 cm at week 0, more than 5
B (rule): y = 0.5x + 7. Noah compares A and B. How much faster does plant A grow than plant B, in cm per week?
B (story): 3 cm of wax has melted, and 0.5 cm more melts each hour. Pia compares A and B. How much faster does candle A melt than candle B, in cm per hour?
A (rule): y = 4x ÷ 3 + 1. B
table, x y 0 5 3 7 6 9 Ren compares A and B. How much faster does line A rise than line B?
A (rule): y = 3x + 2. B
table, weeks cm 0 8 1 9 3 11 Tala compares A and B. After 5 weeks, how many cm taller is plant A than plant B?
Zee compares A and B. After 7 seconds, how many more meters of string has kite A let out than kite B?
A (story): a 30 cm candle burns 4 cm each hour. B
table, hours cm 0 25 3 22 6 19 Ari compares A and B. After 1 hour, how many cm taller is candle A than candle B?
