Linear Function Word Problem Stations...3c.) Jared will need to work out 31 weeks before he is under...

© Jamie Getz (“Active Algebra”), 2015

Linear Function Word Problem

Stations


This activity provides teachers with 6 stations and an answer key for linear function word problems.

Each station requires students to write an equation, create a table, and answer a question regarding the situation. Stations will need to be printed and placed around the classroom for

students to solve.

Additional Ideas: -Set a timer and have students move from station to

station when the timer goes off. -Print three copies of stations and scatter around the

classroom for students to solve at their own pace. -Laminate stations or place them in sheet protectors

to avoid damage.


one Katie has $120 on her cafeteria card. Every time she

orders a meal, $4.50 is deducted from the value on her card. The amount of money she has on her card, y

dollars, is a function of the number of times she orders a meal from the cafeteria, x.

a.) Write an algebraic equation for the function.

b.) Construct a table for x and y values for the function above.

Use values for x from 0 to 5.

c.) How many meals has Katie ordered from the cafeteria if she has $70.50 left on her card?


two Jimmy has $88 in his piggy bank. He is saving his

allowance of $15 per week and putting it in his piggy bank as well. The amount of money in the piggy bank, y dollars, is a function of the number of weeks saved, x.

a.) Write an algebraic equation for this function.



c.) If Jimmy wants to buy a new video game system for $250, how many weeks allowance will he need to save?


three Jared needs to take the Subway diet. He currently weighs 350 lbs. He creates a workout regimen that would help him lose 5 pounds per week. Jared’s

weight, y pounds, is a function of the number of weeks he works out, x.




c.) How many weeks will Jared need to workout before he weighs less than 200lbs?


four Jamie needs to write a paper for class that is 2,000 words long. She can write 375 words per hour if the

television is off. The amount of words written, y words, is a function of the number of hours she spends writing, x.

a.) Write an algebraic equation for the function. (Assuming all

writing is done with the television off.) J

b.) Construct a table for x and y values for the function above. Use values for x from 0 to 5.

c.) How many hours will it take Jamie to write her 2,000 word

paper? (Round to the nearest hour)


five The sandwich shop places 4 pieces of salami on every Italian sandwich that is ordered. The number of slices of salami used, y slices, is a function of the number of

Italian sandwiches ordered, x.


b.) Construct a table for x and y values for the function above. Use values for x from 0 to 5.

c.) How many slices of salami are needed for 35 sandwiches?


six Twitter allows for each user to create a tweet of 140

characters or less. The amount of characters remaining, y, is a function of how many characters are

used, x.


b.) Construct a table for x and y values for the function above. Using the values 5, 28, 39, 84, 99 and 116 for x.

c.) If I want to tweet a message that is 400 characters long, how

many tweets would I need to create?


Answer Key! 1a.) y = -4.5x + 120 1b.) 1c.) Katie ordered 11 meals. 2a.) y = 15x + 88 2b.) 2c.) 10.8 weeks…or round it up to 11 weeks J

x y 0 $88 1 $103 2 $118 3 $133 4 $148 5 $163

x y 0 $120 1 $115.50 2 $111 3 $106.50 4 $102 5 $97.50


3a.) y = -5x + 350 3b.) 3c.) Jared will need to work out 31 weeks before he is under 200 pounds. (Be careful, 30 weeks gets students to exactly 200 pounds but the question asks for Jared to be LESS than 200lbs). 4a.) y = 375x + 0 (tricky! Remind kids, you are starting with 0 words on your paper…therefor your y-intercept is 0!) 4b.) 4c.) 5.33333 Hours (5 1/3) or 5 Hours and 20 Minutes

x y 0 350 1 345 2 340 3 335 4 330 5 325

x y 0 0 1 375 2 750 3 1125 4 1500 5 $1875


5a.) y = 4x + 0 5b.) 5c.)140 slices are needed for 35 sandwiches 6a.) y = -1x + 140 6b.) 6c.) You would need to make three separate tweets.

x y 0 0 1 4 2 8 3 12 4 16 5 20

x y 5 135

28 112 39 101 84 56 99 41

116 24


Copyright

2015 Jamie Getz, Active Algebra

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Thanks!

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Linear Function Word Problem Stations...3c.) Jared will need to work out 31 weeks before he is under...

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