Function Tables Word Problems Lesson Plans & Worksheets - Free Printable
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Step-by-step solution for: Function Tables Word Problems Lesson Plans & Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Function Tables Word Problems Lesson Plans & Worksheets
Let’s solve each problem step by step.
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Problem 1: Because the total number of triangles she used.
Wait — this seems incomplete. Looking at the table:
| Shape | Vertices |
|-----------|----------|
| Triangle | 3 |
| Square | 4 |
| Pentagon | 5 |
| Hexagon | 6 |
And the question says: “Because the total number of triangles she used.” — but that doesn’t form a full question. However, looking at the context and typical problems like this, it’s likely asking:
> How many vertices are there in total if someone uses 7 triangles?
Since each triangle has 3 vertices:
→ 7 triangles × 3 vertices = 21 vertices
But wait — let’s check the actual text again from the image (as per user upload). The first problem is:
> 1. Because the total number of triangles she used.
That still looks cut off. But then below it, problem 2 says:
> 2. How many more vertices does a hexagon have than a square?
Ah — so maybe problem 1 was meant to be something like:
> “She used 7 triangles. How many vertices did she use in total?”
Given the table and standard curriculum, that’s the most logical interpretation.
So:
Each triangle → 3 vertices
7 triangles → 7 × 3 = 21
✔ Final Answer for #1: 21
---
Problem 2: How many more vertices does a hexagon have than a square?
From table:
- Hexagon → 6 vertices
- Square → 4 vertices
Difference: 6 - 4 = 2
✔ Final Answer for #2: 2
---
Problem 3: The area of Manhattan Island is about 23 square miles. If you divide it into regions of equal size, how many regions would you get if each region is 1/4 square mile?
We’re dividing 23 by 1/4.
Dividing by a fraction = multiplying by its reciprocal.
→ 23 ÷ (1/4) = 23 × 4 = 92
Check: If each region is 0.25 sq mi, then 92 regions × 0.25 = 23 → correct.
✔ Final Answer for #3: 92
---
Problem 4: Travis bought 8 tickets to Rome leaves New York City at 10:15 A.M. and arrives at 11:45 P.M. Flight B leaves ahead of Flight A by 1 hour 30 minutes. Determine when Flight B is scheduled to arrive.
First, find duration of Flight A:
Leaves: 10:15 A.M.
Arrives: 11:45 P.M.
From 10:15 A.M. to 10:15 P.M. = 12 hours
Then 10:15 P.M. to 11:45 P.M. = 1 hour 30 minutes
Total flight time = 12 + 1.5 = 13.5 hours or 13 hours 30 minutes
Flight B leaves 1 hour 30 minutes BEFORE Flight A.
So Flight B departure time = 10:15 A.M. minus 1 hr 30 min
10:15 A.M. minus 1 hour = 9:15 A.M.
Minus 30 more minutes = 8:45 A.M.
Flight B takes same amount of time? The problem doesn’t say otherwise — we assume same flight duration unless told differently.
So Flight B departs at 8:45 A.M., flies 13 hours 30 minutes.
Add 13 hours to 8:45 A.M.:
8:45 A.M. + 12 hours = 8:45 P.M.
+1 more hour = 9:45 P.M.
Now add 30 minutes → 10:15 P.M.
Wait — let me double-check:
Departure: 8:45 A.M.
Add 13 hours → 8:45 A.M. + 13 hrs = 9:45 P.M.
Add 30 min → 10:15 P.M.
Yes.
But wait — original Flight A arrived at 11:45 P.M. after leaving at 10:15 A.M. → that’s 13h30m.
Flight B leaves earlier by 1h30m → so it should also arrive earlier by 1h30m?
If both flights take same time, then yes — arrival time difference equals departure time difference.
Flight A arrives at 11:45 P.M.
Flight B leaves 1h30m earlier → arrives 1h30m earlier → 11:45 P.M. minus 1h30m = 10:15 P.M.
Same answer.
✔ Final Answer for #4: 10:15 P.M.
---
Problem 5: OFFICE SUPPLIES At an office supply store, pens cost $0.50 each and pencils cost $0.25 each. Can you buy 10 pens and 10 pencils for $10? Explain your reasoning.
Cost of 10 pens: 10 × $0.50 = $5.00
Cost of 10 pencils: 10 × $0.25 = $2.50
Total = $5.00 + $2.50 = $7.50
$7.50 is less than $10 → YES, you can afford it.
You’d even have $2.50 left over.
✔ Final Answer for #5: Yes, because 10 pens and 10 pencils cost $7.50, which is less than $10.
---
Problem 6: SHOPPING Toshio bought two pairs of jeans for $29.95 each. He paid with a $100 bill. How much change will he receive? What could he buy with his change for the next pair of jeans?
First, cost of two jeans: 2 × $29.95
Calculate:
29.95 × 2 = 59.90
He paid $100 → change = 100 - 59.90 = $40.10
Now, what could he buy with $40.10 for the next pair of jeans?
Assuming jeans still cost $29.95 each → he can afford one more pair ($29.95), and would have $40.10 - $29.95 = $10.15 left.
Or he could buy other items totaling up to $40.10.
The question says: “What could he buy with his change for the next pair of jeans?” — probably meaning: can he afford another pair? Yes.
So:
Change received: $40.10
With that, he can buy one more pair of jeans (costing $29.95) and have money left.
✔ Final Answer for #6:
Change: $40.10
He can buy another pair of jeans with his change.
---
## Final Answers:
1. 21
2. 2
3. 92
4. 10:15 P.M.
5. Yes, because 10 pens and 10 pencils cost $7.50, which is less than $10.
6. Change: $40.10; He can buy another pair of jeans with his change.
---
Problem 1: Because the total number of triangles she used.
Wait — this seems incomplete. Looking at the table:
| Shape | Vertices |
|-----------|----------|
| Triangle | 3 |
| Square | 4 |
| Pentagon | 5 |
| Hexagon | 6 |
And the question says: “Because the total number of triangles she used.” — but that doesn’t form a full question. However, looking at the context and typical problems like this, it’s likely asking:
> How many vertices are there in total if someone uses 7 triangles?
Since each triangle has 3 vertices:
→ 7 triangles × 3 vertices = 21 vertices
But wait — let’s check the actual text again from the image (as per user upload). The first problem is:
> 1. Because the total number of triangles she used.
That still looks cut off. But then below it, problem 2 says:
> 2. How many more vertices does a hexagon have than a square?
Ah — so maybe problem 1 was meant to be something like:
> “She used 7 triangles. How many vertices did she use in total?”
Given the table and standard curriculum, that’s the most logical interpretation.
So:
Each triangle → 3 vertices
7 triangles → 7 × 3 = 21
✔ Final Answer for #1: 21
---
Problem 2: How many more vertices does a hexagon have than a square?
From table:
- Hexagon → 6 vertices
- Square → 4 vertices
Difference: 6 - 4 = 2
✔ Final Answer for #2: 2
---
Problem 3: The area of Manhattan Island is about 23 square miles. If you divide it into regions of equal size, how many regions would you get if each region is 1/4 square mile?
We’re dividing 23 by 1/4.
Dividing by a fraction = multiplying by its reciprocal.
→ 23 ÷ (1/4) = 23 × 4 = 92
Check: If each region is 0.25 sq mi, then 92 regions × 0.25 = 23 → correct.
✔ Final Answer for #3: 92
---
Problem 4: Travis bought 8 tickets to Rome leaves New York City at 10:15 A.M. and arrives at 11:45 P.M. Flight B leaves ahead of Flight A by 1 hour 30 minutes. Determine when Flight B is scheduled to arrive.
First, find duration of Flight A:
Leaves: 10:15 A.M.
Arrives: 11:45 P.M.
From 10:15 A.M. to 10:15 P.M. = 12 hours
Then 10:15 P.M. to 11:45 P.M. = 1 hour 30 minutes
Total flight time = 12 + 1.5 = 13.5 hours or 13 hours 30 minutes
Flight B leaves 1 hour 30 minutes BEFORE Flight A.
So Flight B departure time = 10:15 A.M. minus 1 hr 30 min
10:15 A.M. minus 1 hour = 9:15 A.M.
Minus 30 more minutes = 8:45 A.M.
Flight B takes same amount of time? The problem doesn’t say otherwise — we assume same flight duration unless told differently.
So Flight B departs at 8:45 A.M., flies 13 hours 30 minutes.
Add 13 hours to 8:45 A.M.:
8:45 A.M. + 12 hours = 8:45 P.M.
+1 more hour = 9:45 P.M.
Now add 30 minutes → 10:15 P.M.
Wait — let me double-check:
Departure: 8:45 A.M.
Add 13 hours → 8:45 A.M. + 13 hrs = 9:45 P.M.
Add 30 min → 10:15 P.M.
Yes.
But wait — original Flight A arrived at 11:45 P.M. after leaving at 10:15 A.M. → that’s 13h30m.
Flight B leaves earlier by 1h30m → so it should also arrive earlier by 1h30m?
If both flights take same time, then yes — arrival time difference equals departure time difference.
Flight A arrives at 11:45 P.M.
Flight B leaves 1h30m earlier → arrives 1h30m earlier → 11:45 P.M. minus 1h30m = 10:15 P.M.
Same answer.
✔ Final Answer for #4: 10:15 P.M.
---
Problem 5: OFFICE SUPPLIES At an office supply store, pens cost $0.50 each and pencils cost $0.25 each. Can you buy 10 pens and 10 pencils for $10? Explain your reasoning.
Cost of 10 pens: 10 × $0.50 = $5.00
Cost of 10 pencils: 10 × $0.25 = $2.50
Total = $5.00 + $2.50 = $7.50
$7.50 is less than $10 → YES, you can afford it.
You’d even have $2.50 left over.
✔ Final Answer for #5: Yes, because 10 pens and 10 pencils cost $7.50, which is less than $10.
---
Problem 6: SHOPPING Toshio bought two pairs of jeans for $29.95 each. He paid with a $100 bill. How much change will he receive? What could he buy with his change for the next pair of jeans?
First, cost of two jeans: 2 × $29.95
Calculate:
29.95 × 2 = 59.90
He paid $100 → change = 100 - 59.90 = $40.10
Now, what could he buy with $40.10 for the next pair of jeans?
Assuming jeans still cost $29.95 each → he can afford one more pair ($29.95), and would have $40.10 - $29.95 = $10.15 left.
Or he could buy other items totaling up to $40.10.
The question says: “What could he buy with his change for the next pair of jeans?” — probably meaning: can he afford another pair? Yes.
So:
Change received: $40.10
With that, he can buy one more pair of jeans (costing $29.95) and have money left.
✔ Final Answer for #6:
Change: $40.10
He can buy another pair of jeans with his change.
---
## Final Answers:
1. 21
2. 2
3. 92
4. 10:15 P.M.
5. Yes, because 10 pens and 10 pencils cost $7.50, which is less than $10.
6. Change: $40.10; He can buy another pair of jeans with his change.
Parent Tip: Review the logic above to help your child master the concept of functions word problems worksheet.