On your map, the distance between Evansville and Muncie is 8.75 inches. How many miles is it from Evansville to Muncie if it is 4.5 inches between Lafayette and Fort Wayne on the map and 120 miles from Lafayette and Fort Wayne in real life? Round to the nearest mile. A couple ordered 70 ouncos of pôtó for the

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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## Ratios and Proportions

1) **Question 1: Distance Calculation**
   - On your map, the distance between Evansville and Muncie is 8.75 inches. How many miles is it from Evansville to Muncie if it is 4.5 inches between Lafayette and Fort Wayne on the map and 120 miles from Lafayette and Fort Wayne in real life? Round to the nearest mile.

2) **Question 2: Pâté Calculation**
   - A couple ordered 70 ounces of pâté for their engagement party of 45 people. The pâté was such a hit that the couple has decided to serve it again at their wedding reception. How many ounces of pâté should they order for 315 people?

3) **Question 3: Property Tax Calculation**
   - A house assessed at $73,000 has an annual property tax of $1,600. How much property tax would the owner of a house in the same neighborhood expect to pay if his house was assessed at $87,500? Round to the nearest dollar.

These math problems involve the application of ratios and proportional reasoning to solve real-world situations. Answer each question using appropriate mathematical operations and round your results as instructed.
Transcribed Image Text:## Ratios and Proportions 1) **Question 1: Distance Calculation** - On your map, the distance between Evansville and Muncie is 8.75 inches. How many miles is it from Evansville to Muncie if it is 4.5 inches between Lafayette and Fort Wayne on the map and 120 miles from Lafayette and Fort Wayne in real life? Round to the nearest mile. 2) **Question 2: Pâté Calculation** - A couple ordered 70 ounces of pâté for their engagement party of 45 people. The pâté was such a hit that the couple has decided to serve it again at their wedding reception. How many ounces of pâté should they order for 315 people? 3) **Question 3: Property Tax Calculation** - A house assessed at $73,000 has an annual property tax of $1,600. How much property tax would the owner of a house in the same neighborhood expect to pay if his house was assessed at $87,500? Round to the nearest dollar. These math problems involve the application of ratios and proportional reasoning to solve real-world situations. Answer each question using appropriate mathematical operations and round your results as instructed.
### Proportions and Problems

**Example Problems:**

**4.** If one acre of land has 30,000 individual plants of corn, how many plants would grow on a 17-acre farm?

**5.** Larry is creating a mural from a photograph he took while on vacation. He has decided that every 0.5 inch of the photo will equal 4 inches in his mural. If the photograph is cropped to be 7 inches wide, how wide will the mural be?

**6.** Amy is taking 15 credit hours at Ivy Tech this semester and paid $1,997.25 for tuition. She is considering taking 11 credit hours in the summer. How much will her tuition be?

**7.** A 35 lb. child received 525 milligrams of antibiotics. If the dose is to remain proportional to body weight, how many milligrams of antibiotics should be prescribed to a child who weighs 68 lb.? Round to the nearest milligram.
Transcribed Image Text:### Proportions and Problems **Example Problems:** **4.** If one acre of land has 30,000 individual plants of corn, how many plants would grow on a 17-acre farm? **5.** Larry is creating a mural from a photograph he took while on vacation. He has decided that every 0.5 inch of the photo will equal 4 inches in his mural. If the photograph is cropped to be 7 inches wide, how wide will the mural be? **6.** Amy is taking 15 credit hours at Ivy Tech this semester and paid $1,997.25 for tuition. She is considering taking 11 credit hours in the summer. How much will her tuition be? **7.** A 35 lb. child received 525 milligrams of antibiotics. If the dose is to remain proportional to body weight, how many milligrams of antibiotics should be prescribed to a child who weighs 68 lb.? Round to the nearest milligram.
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