Final answer:
The constant of proportionality in dollars for the number of pounds of napolitos is $2.46 per pound, making option "a. $2.46" the correct answer.
Step-by-step explanation:
The correct answer is option "a. $2.46". To find the constant of proportionality in dollars (y) to the number of pounds of napolitos (x), you would divide the total cost by the total weight. Here, the cost for 1.5 pounds is $3.69. If we want to find the cost per pound, we do the following calculation:
$3.69 ÷ 1.5 pounds = $2.46 per pound.
This value represents the cost of one pound of Napolitos. The constant of proportionality, therefore, is $2.46, which means for every one pound of napolitos, the cost is $2.46. To clarify, option "b. $2.46x" represents the overall cost, not the constant of proportionality, while options "c" and "d" use incorrect values entirely.
To find the constant of proportionality in this scenario, we need to divide the cost of the napolitos by the number of pounds.
Given that 1.5 pounds cost $3.69, we can set up a proportion:
x pounds / $3.69 = 1.5 pounds / $3.69
Cross-multiplying, we get:
x pounds = 1.5 pounds * $3.69 / $3.69
Simplifying the equation, we find:
x pounds = 1.5 pounds
Therefore, the constant of proportionality is $2.46.