Compare two relationships shown in different ways
Grade 8 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
B (rule): y = 2.5x + 1. Ari compares two plants, A and B. A's table has uneven steps. Which plant grows faster?
- A grows faster: it starts higher, at 3 cm
- B grows faster: 2.5 cm a week, more than 2
- A grows faster: its table reaches 15 cm
- A grows faster: it jumps 6 cm, more than 2.5
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A (rule): y = -2x + 8. B
table, x y 0 20 1 15 2 10 In math club, Esme compares two falling lines, A and B. Which line has the greater rate of change?
- B is greater: it starts higher, at 20
- A is greater: -2 is greater than -5
- B is greater: 5 is more than 2
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: 200 is more than 150
- B is greater: it starts higher, at 900 mL
- A is greater: -150 is greater than -200
In math club, Kira compares two lines, A and B, with no row for x = 0. Which line starts higher (at x = 0)?
- A starts higher: its first row shows -1
- A starts higher: it changes 2 each step
- B starts higher: -1 at x = 0, more than -7
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?