Download 8.EE.7b Kennel Fees Task

Name_________________________________________________________
CCSS
8.EE.7
Date __________
Kennel Fees
For use after Section 1.3
The prices for boarding a dog at three different kennels is described below.
Duke’s Kennels: Charges a flat fee of $40 for manners lesson, $16.25 per day
to board the dog, $8.50 per day for play time with the dog
Lakeside Kennels: Charges a flat fee of $40 for manners lesson, $15.25 per day
to board the dog, $9.50 per day for play time with the dog
Sunbrook Kennels: Charges a flat fee of $45.99 for manners lesson, $18 per day
to board the dog, $6.75 per day for play time with the dog
1. You board your dog at Duke’s Kennels and pay $163.75. How many days
did your dog stay at the kennel? Justify your answer. Assume you get a
manners lesson and play time for your dog each day.
2. You board your dog at Lakeside Kennels and pay $213.25. How many days
did your dog stay at the kennel? Justify your answer. Assume you get a
manners lesson and play time for your dog each day.
3. You board your dog at Sunbrook Kennels and pay $144.99. How many
days did your dog stay at the kennel? Justify your answer. Assume you get
a manners lesson and play time for your dog each day.
4. After how many days would you pay the same fee to Duke’s Kennels and
Lakeside Kennels? Justify your answer. Assume you are paying all of the
fees described above.
5. After how many days would you pay the same fee to Lakeside Kennels and
Sunbrook Kennels? Justify your answer. Assume you are paying all of the
fees described above.
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Big Ideas Math
Performance Tasks
13
CCSS
8.EE.7
Common Core State Standard
8.EE.7 Solve linear equations in one variable.
a. Give examples of linear equations in one variable with one solution,
infinitely many solutions, or no solutions. Show which of these
possibilities is the case by successively transforming the given equation
into simpler forms, until an equivalent equation of the form x = a,
a = a, or a = b results (where a and b are different numbers).
b. Solve linear equations with rational number coefficients, including
equations whose solutions require expanding expressions using the
distributive property and collecting like terms.
CCSS
8.EE.7
Grading Rubric
Answers
Score
1. 5 days; Solve the equation 40 + 16.25 x + 8.50 x = 163.75 to get
x = 5.
2. 7 days; Solve the equation 40 + 15.25 x + 9.50 x = 213.25 to get
x = 7.
3. 4 days; Solve the equation 45.99 + 18 x + 6.75 x = 144.99 to get
x = 4.
2
2
2
4. The fee is the same for both kennels no matter how many days
your dog stays there. The equation
40 + 16.25 x + 8.50 x = 40 + 15.25 x + 9.50 x has infinitely
many solutions.
2
5. Sunbrook will always cost more than Lakeside. The equation
2
40 + 15.25 x + 9.50 x = 45.99 + 18 x + 6.75 x has no solution.
Precision
1–3. Student understands how to solve equations with rational number
coefficients.
4. Student recognizes when a linear equation has infinitely many
solutions.
5. Student recognizes when a linear equation has no solution.
Total Points
14
Big Ideas Math
Performance Tasks
3
1
1
15
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All rights reserved.