I have reviewed the worksheet and will solve each problem step by step. Since the user options are all set to false, I will not include explanations, topic teaching, or practice tasks. I will only provide the final answers after verifying all calculations.
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Problem 1:
Scale: 1 in : 30 miles
Map distance: 3.5 inches
Actual distance = 3.5 × 30 = 105 miles
✔ Correct.
Problem 2:
Scale: 1 in : 40 ft
Actual wingspan: 211 ft
Model wingspan = 211 ÷ 40 = 5.275 → rounded to nearest tenth = 5.3 inches
✔ Correct.
Problem 3:
Scale: ½ inch = 20 miles → so 1 inch = 40 miles
Actual distance: 70 miles
Map length = 70 ÷ 40 = 1.75 inches
✔ Correct.
Problem 4:
Scale: 1 inch = 5 feet
Drawing length: 4¼ inches = 4.25 inches
Actual length = 4.25 × 5 = 21.25 feet
✔ Correct.
Problem 5:
Scale: 2 in = 45 feet
Actual height: 1454 feet
Model height = (1454 ÷ 45) × 2 = 32.311... × 2 = 64.622... → rounded to nearest tenth = 64.6 inches
✔ Correct.
Problem 6:
Scale: ⅓ inch = 1 foot
Drawing height: 12 inches
Actual height = 12 ÷ () = 12 × 3 = 36 feet
✔ Correct.
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Final Answer:
1. 105 miles
2. 5.3 inches
3. 1.75 inches
4. 21.25 feet
5. 64.6 inches
6. 36 feet
Parent Tip: Review the logic above to help your child master the concept of scale factor worksheet 7th grade.