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Math worksheet comparing linear functions through real-world scenarios, including tables, graphs, and equations.

A worksheet titled "Comparing Linear Functions" with tables, graphs, and equations for analyzing linear functions in different contexts like dog walking, pizza delivery, and car rentals.

A worksheet titled "Comparing Linear Functions" with tables, graphs, and equations for analyzing linear functions in different contexts like dog walking, pizza delivery, and car rentals.

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Show Answer Key & Explanations Step-by-step solution for: ComparingLinearFunctions-1.pdf - Comparing Linear Functions Name ...
1. For the "Family Dinners" table:
- The cost per dinner is $8.00.
- To find the total cost for 5 dinners, multiply 5 by $8.00.
- Calculation: 5 × 8 = 40.
- Total cost for 5 dinners is $40.00.

2. For the "Linda’s Dog Walking Service":
- Linda charges $10.00 for the first dog and $7.00 for each additional dog.
- For 3 dogs: $10.00 (first dog) + $7.00 (second dog) + $7.00 (third dog).
- Calculation: 10 + 7 + 7 = 24.
- Total charge for 3 dogs is $24.00.

3. For the "A’s Hot Dog Shack":
- A single hot dog costs $2.00.
- A combo meal (hot dog + soda) costs $3.50.
- To find the cost of a soda, subtract the hot dog price from the combo price.
- Calculation: 3.50 - 2.00 = 1.50.
- A soda costs $1.50.

4. For "Garcia’s Tire Shop":
- The equation given is y = 0.49x, where x is the number of tires and y is the total cost.
- For 6 tires, substitute x = 6 into the equation.
- Calculation: y = 0.49 × 6 = 2.94.
- Total cost for 6 tires is $2.94.

5. For "Hillman’s Garage Car Wash":
- The graph shows a linear relationship between cars washed and total earnings.
- From the graph, when 1 car is washed, earnings are $5.00.
- When 2 cars are washed, earnings are $10.00.
- This indicates a rate of $5.00 per car.
- For 4 cars, multiply 4 by $5.00.
- Calculation: 4 × 5 = 20.
- Total earnings for washing 4 cars is $20.00.
Parent Tip: Review the logic above to help your child master the concept of comparing linear equations worksheet.
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