Question

On tax free weekend, Alyssa bought 3 pairs of blue jeans for $92.31. The cost of the jeans is proportional to the number of pairs of jeans bought. What is the constant of proportionality in terms of dollars per pair of jeans?

Answer 1

The constant of proportionality, which is the cost per pair of jeans, is found by dividing the total cost by the number of pairs. For Alyssa's purchase of 3 pairs of jeans for $92.31, the constant of proportionality is $30.77 per pair.

Step-by-step explanation:

To determine the constant of proportionality for the jeans Alyssa bought, we need to divide the total cost by the number of pairs of jeans she purchased. Since Alyssa bought 3 pairs of jeans for $92.31, we calculate the constant of proportionality as follows:

1. 
   
3. Step 1: Identify the total cost of jeans, which is $92.31.
4. 
   
6. Step 2: Identify the number of pairs of jeans, which is 3.
7. 
   
9. Step 3: Divide the total cost by the number of pairs to find the cost per pair.
10. 
    
12. Step 4: $92.31 ÷ 3 pairs = $30.77 per pair.

Therefore, the constant of proportionality is $30.77 per pair of jeans.

Answer 2

constant of proportionality is 30.77 dollars per pair of jeans

Step-by-step explanation:

On tax free weekend, Alyssa bought 3 pairs of blue jeans for $92.31. The cost of the jeans is proportional to the number of pairs of jeans bought

Let c be the cost and 'n' be the number of jeans

cost 'c' is proportional to the number of jeans 'n'

`c=k \cdot n`

where 'k' is the constant of proportionality

we need to find out k when c= 92.31 and n= 3

`c=k \cdot n\\92.31=k \cdot (3)`

divide both sides by 3

k=30.77

so constant of proportionality is 30.77 dollars per pair of jeans