Question

The cost per ounce of a drink, c, varies inversely as the number of ounces, n. Six ounces of the drink costs 60 cents per ounce. Which equation represents this relationship?

Answer 1

Answer:

c = 360/n

Step-by-step explanation:

From the question, we are told that:

The cost per ounce of a drink, c, varies inversely as the number of ounces, n.

Mathematically this is expressed as:

c ∝ 1/n

Using the constant of proportionality k

c = k/n

Six ounces of the drink costs 60 cents per ounce.

c =60 cents per ounce

n = 6 ounces

Mathematically we have

c = k/n

60 = k/6

Cross multiply to find the constant k

k = 60 × 6

k = constant of proportionality = 360

Therefore, using the mathematically expression "c = k/n" the equation that represents this relationship is

c = 360/n