Question

six cell phones weigh 46.2 ounces. fourteen cell phones weigh 107.8 ounces. this relationship is an example of a proportional relationship. what is the constant of proportionality? select the correct answer. 1, 6.7, 7.1, 7.8

Explanation:

Step1: Recall the formula for constant of proportionality

For a proportional relationship \(y = kx\), the constant of proportionality \(k=\frac{y}{x}\). Let \(x\) be the number of cell - phones and \(y\) be the weight.

Step2: Substitute the values

We are given that when \(x = 6\) (six cell - phones), \(y=46.2\) ounces. Then \(k=\frac{y}{x}=\frac{46.2}{6}\).

Step3: Calculate the value

\(\frac{46.2}{6}=7.7\)

Answer:

\(7.7\)