Graph & Equation Quest: Scenario Math

Froggy Jumps

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Solve quick equation-based problems from the graphs.

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Tim

United States

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Froggy Jumps Graph & Equation Quest: Scenario MathOnline version Solve quick equation-based problems from the graphs. by Tim 1 If Natalia buys s songs at $1 each, which equation gives total cost C? a C = s b C = 1/s c C = s^2 2 Aquarium drains 200 gallons at 10 gallons per minute. Which equation gives gallons G remaining after t minutes? a G = 200 − 10t b G = 10t − 200 c G = 200 ÷ 10t 3 After n cuts, a 20 ft rope splits into pieces P. Which is P? a P = 2^n b P = 20 − n c P = n^2 4 After n cuts, rope length L is 20 ft. Which is L? a L = 20 − n b L = 20 × 2^n c L = 20 ÷ 2^n 5 If the rope is cut n times, how many pieces are there when P = 8? a n = 4 b n = 2 c n = 3 6 If the rope starts at 20 ft and you want a piece of 5 ft, how many cuts are needed? a n = 1 b n = 2 c n = 3 7 Water remaining G is 60 gallons after t minutes. Which equation solves t? a 60t = 200 − 10 b 60 = 200 − 10t c 60 = 10t − 200 8 After w weeks, debt D with doubling each week is: a D = w^2 b D = 2^w c D = 2^(w−1) 9 If you start with 200 gallons, how long to drain to 0 gallons (linear rate 10 gal/min)? a t = 200 minutes b t = 20 minutes c t = 10 minutes 10 Max height of baton is 22 ft reached after 2 seconds. Which linear model is plausible for height h(t)? a h(t) = 11t (for early ascent) b h(t) = 22t c h(t) = 22 − t

Froggy Jumps

Graph & Equation Quest: Scenario MathOnline version

Solve quick equation-based problems from the graphs.

by Tim

If Natalia buys s songs at $1 each, which equation gives total cost C?

C = s

C = 1/s

C = s^2

Aquarium drains 200 gallons at 10 gallons per minute. Which equation gives gallons G remaining after t minutes?

G = 200 − 10t

G = 10t − 200

G = 200 ÷ 10t

After n cuts, a 20 ft rope splits into pieces P. Which is P?

P = 2^n

P = 20 − n

P = n^2

After n cuts, rope length L is 20 ft. Which is L?

L = 20 − n

L = 20 × 2^n

L = 20 ÷ 2^n

If the rope is cut n times, how many pieces are there when P = 8?

n = 4

n = 2

n = 3

If the rope starts at 20 ft and you want a piece of 5 ft, how many cuts are needed?

n = 1

n = 2

n = 3

Water remaining G is 60 gallons after t minutes. Which equation solves t?

60t = 200 − 10

60 = 200 − 10t

60 = 10t − 200

After w weeks, debt D with doubling each week is:

D = w^2

D = 2^w

D = 2^(w−1)

If you start with 200 gallons, how long to drain to 0 gallons (linear rate 10 gal/min)?

t = 200 minutes

t = 20 minutes

t = 10 minutes

Max height of baton is 22 ft reached after 2 seconds. Which linear model is plausible for height h(t)?

h(t) = 11t (for early ascent)

h(t) = 22t

h(t) = 22 − t

You can integrate the game into an LMS compatible with LTI 1.1 or LTI 1.3 such as Canvas, Moodle, or Blackboard. This way, the scores will be automatically saved into the platform’s gradebook.

Graph & Equation Quest: Scenario Math

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Graph & Equation Quest: Scenario MathOnline version

by Tim

If Natalia buys s songs at $1 each, which equation gives total cost C?

Aquarium drains 200 gallons at 10 gallons per minute. Which equation gives gallons G remaining after t minutes?

After n cuts, a 20 ft rope splits into pieces P. Which is P?

After n cuts, rope length L is 20 ft. Which is L?

If the rope is cut n times, how many pieces are there when P = 8?

If the rope starts at 20 ft and you want a piece of 5 ft, how many cuts are needed?

Water remaining G is 60 gallons after t minutes. Which equation solves t?

After w weeks, debt D with doubling each week is:

If you start with 200 gallons, how long to drain to 0 gallons (linear rate 10 gal/min)?

Max height of baton is 22 ft reached after 2 seconds. Which linear model is plausible for height h(t)?

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