Which function shows a fabric with a price of $1.25 per square yard?
Price of Fleece
| Square Yards | 1 | 2 | 3 | 4 |
| :----------- | :------- | :------- | :------- | :------- |
| Price | $1.25 | $2.00 | $2.75 | $3.50 |
Price of Fleece
| Square Yards | 1 | 2 | 3 | 4 |
| :----------- | :------- | :------- | :------- | :------- |
| Price | $0.25 | $1.25 | $2.25 | $3.25 |
Answer (2)
Table 1 shows a price of $1.25 for 1 square yard of fabric, making it the correct choice. Table 2 does not have a price of $1.25 for any square yard amounts. Therefore, the answer is Table 1.
;
Calculate the price per square yard for each entry in Table 1: 1 $1.25 = $1.25 , 2 $2.00 = $1.00 , 3 $2.75 ≈ $0.917 , 4 $3.50 = $0.875 .
Calculate the price per square yard for each entry in Table 2: 1 $0.25 = $0.25 , 2 $1.25 = $0.625 , 3 $2.25 = $0.75 , 4 $3.25 = $0.8125 .
Table 1 has a price of $1.25 per square yard when 1 square yard is purchased.
Therefore, Table 1 represents a fabric with a price of $1.25 per square yard. The answer is Table 1.
Explanation
Understanding the Problem We are given two tables showing the price of fleece for different square yards and asked to determine which table represents a fabric with a price of $1.25 per square yard.
Plan of Action To determine which table represents a fabric with a price of $1.25 per square yard, we need to calculate the price per square yard for each table.
Calculations for Table 1 For Table 1, we have the following data points: (1, $1.25 ), (2, $2.00 ), (3, $2.75 ), (4, $3.50 ). We calculate the price per square yard for each entry by dividing the price by the number of square yards:
For 1 square yard: 1 $1.25 = $1.25 per square yard
For 2 square yards: 2 $2.00 = $1.00 per square yard
For 3 square yards: 3 $2.75 ≈ $0.917 per square yard
For 4 square yards: 4 $3.50 = $0.875 per square yard
Calculations for Table 2 For Table 2, we have the following data points: (1, $0.25 ), (2, $1.25 ), (3, $2.25 ), (4, $3.25 ). We calculate the price per square yard for each entry by dividing the price by the number of square yards:
For 1 square yard: 1 $0.25 = $0.25 per square yard
For 2 square yards: 2 $1.25 = $0.625 per square yard
For 3 square yards: 3 $2.25 = $0.75 per square yard
For 4 square yards: 4 $3.25 = $0.8125 per square yard
Finding the Correct Table We are looking for a function that shows a fabric with a price of $1.25 per square yard. Table 1 has a price of $1.25 for 1 square yard. However, the price per square yard is not constant for the other entries in Table 1. Table 2 does not have a price of $1.25 per square yard for any of its entries. The question is ambiguous. It could mean a constant price of $1.25 per square yard, or it could mean a price of $1.25 per square yard for some number of square yards. If we interpret it as the latter, then Table 1 satisfies the condition.
Final Answer Based on the calculations, Table 1 has a price of $1.25 per square yard when the number of square yards is 1. Therefore, Table 1 represents a fabric with a price of $1.25 per square yard.
Examples
Understanding pricing per unit is crucial in everyday life. For example, when buying groceries, comparing the price per ounce of different brands helps you make the most economical choice. Similarly, when purchasing fabric, knowing the price per square yard allows you to calculate the total cost for your project and compare different fabrics effectively. This ensures you stay within budget and make informed decisions.
