Question

part c
at the deli, salami prices are determined by the equation ( y = 4.25x ). what is the constant of proportionality for the equation and what does it mean? explain how you can use the equation to find how much 3 pounds of salami costs. then find the cost for 3 pounds of salami.

Explanation:

Step1: Identify constant of proportionality

In a proportional equation \( y = kx \), \( k \) is the constant of proportionality. For \( y = 4.25x \), the constant of proportionality \( k = 4.25 \). This means each pound of salami costs \$4.25.

Step2: Substitute \( x = 3 \) into the equation

To find the cost of 3 pounds, substitute \( x = 3 \) into \( y = 4.25x \). So \( y = 4.25\times3 \).

Step3: Calculate the product

\( 4.25\times3 = 12.75 \).

Answer:

The constant of proportionality is \( 4.25 \), meaning each pound of salami costs \$4.25. To find the cost of 3 pounds, substitute LXI1 into LXI2. The cost for 3 pounds of salami is \$12.75.