1. Suppose you have $20 in a bank account. You start saving $5 per week. Your friend starts with $5 in his
account and saves $10 per week.
a. Define your variables:
x: ___________________________ y: ____________________________
b. Write a system of equations to model the two bank accounts.
c. Find the solution to the system by graphing:
Solution: _________________
d. Explain what your solution means in the context of the problem.
2. Suppose you’re renting a moving truck. Uhaul charges a fee of $20 and then $2 per mile. Budget
charges a fee of $15 and then $3 per mile.
a. Define your variables:
x: ___________________________ y: ____________________________
b. Write a system of equations to model the cost of the two moving companies.
c. Find the solution to the system by graphing:
Solution: _________________
d. Explain what your solution means in the context of the problem.
e. If you were planning on driving 16 miles, which company would you choose? Explain.
3. Suppose you are testing two fertilizers on bamboo plants which are growing under ideal conditions.
Plant A starts at 6 cm tall and is growing 4 cm per day. Plant B starts at 10 cm tall and is growing 2 cm
per day.
a. Define your variables:
x: ___________________________ y: ____________________________
b. Write a system of equations to model the two bamboo plants.
c. Find the solution to the system by graphing:
Solution: _________________
d. Explain what your solution means in the context of the problem.
4. Suppose you plan to start an aerobics class. Non-members pay $4 per class while members pay a $10 fee
and then only $2 per class.
a. Define your variables:
x: ___________________________ y: ____________________________
b. Write a system of equations to model the two costs for an aerobics class.
c. Find the solution to the system by graphing:
Solution: _________________
d. Explain what your solution means in the context of the problem.
e. If you were planning on taking this class for 12 months, would you get a membership? Explain.