the cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. if c = $54 when n…

the cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. if c = $54 when n is 9, what is the cost of the sandwiches when n is 3?\n$18\n$21\n$27\n$48

the cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. if c = $54 when n is 9, what is the cost of the sandwiches when n is 3?\n$18\n$21\n$27\n$48

Answer

Explanation:

Step1: Encontrar la constante de proporcionalidad

Dado que $c$ varía directamente con $n$, la relación es $c = kn$. Sustituimos $c = 54$ y $n = 9$ para encontrar $k$: $54=k\times9$, entonces $k=\frac{54}{9}=6$.

Step2: Calcular el costo para $n = 3$

Ahora que $k = 6$, usamos la fórmula $c = kn$ con $n = 3$. Entonces $c=6\times3 = 18$.

Answer:

A. $18