Word Problems 2: Intersecting Lines and Their Meanings Worksheet
Problem 1: An outdoor swimming pool opens for 14 weeks each year. There are two
payment options:
Option 1: You can pay $3 per visit
Option 2: You can buy a season pass for $80 and pay $1 per visit
When would it be cheaper to use the first option?
When would it be cheaper to use the second option?
Step 1: Create an equation for each.
Option 1: ___________________
Option 2: _______________
Step 2: Solve using the comparison method for when the 2 options cost the same.
Intersection Point:
Step 3: What does this intersection point mean?
Step 4: Graph it. Remember to plot b first and then use the slope (m).
Step 5: What does the graph tell us?
CONCLUSION:
Word Problems 2: Intersecting Lines and Their Meanings Worksheet
Problem 2: Two TV stations offer deals for putting ads on. The cost for a 30second add is
as follows:
Global: $20 initial charge, plus $1 per day
CBC: $12 initial charge, plus $2 per day
When would it be cheaper to use the first option?
When would it be cheaper to use the second option?
Step 1: Create an equation for each.
Option 1: ___________________
Option 2: _______________
Step 2: Solve using the comparison method for when the 2 options cost the same.
Intersection Point:
Step 3: What does this intersection point mean?
Step 4: Graph (labelled)
Step 5: What does the graph tell us?
CONCLUSION:
Word Problems 2: Intersecting Lines and Their Meanings Worksheet
Problem 3: A house contractor needs shingles to build a new roof. He wants to hire the
company that will give him the lowest price. The two options are shown below:
Everyday Roofing: charges a base rate of $80 plus $2 per shingle
Quality Concrete: charges a base rate of $60 plus $3 per shingle
When would it be cheaper to use the first option?
When would it be cheaper to use the second option?
Step 1: Create an equation for each.
Option 1: ___________________
Option 2: _______________
Step 2: Solve using the comparison method for when the 2 options cost the same.
Intersection Point:
Step 3: What does this intersection point mean?
Step 4: Graph (labelled)
Which graph is which? How do you know?
Step 5: What does the graph tell us?
CONCLUSION:
Word Problems 2: Intersecting Lines and Their Meanings Worksheet
Problem 4: A record company offers Fred a choice of contracts:
Option 1: They will pay him $10,000 cash and a royalty of $1 per CD sold.
Option 2: They will pay him a royalty of $2 per CD sold.
When would it be cheaper to use the first option?
When would it be cheaper to use the second option?
Step 1: Create an equation for each.
Option 1: ___________________
Option 2: _______________
Step 2: Solve using the comparison method for when the 2 options cost the same.
Intersection Point:
Step 3: What does this intersection point mean?
Step 4: Graph
Which graph is which? How do you know?
Step 5: What does the graph tell us?
CONCLUSION: