Question

1. a bottle of ketchup contains 14 ounces and costs $1.68. let c equal the total cost and w equal the number of ounces. in this scenario, what is the constant of proportionality?

a 14, as in $c = 14w$
b 1.68, as in $c = 1.68w$
c 8.33, as in $c = 8.33w$
d 0.12, as in $c = 0.12w$

Explanation:

Step1: Define proportionality formula

The proportional relationship is $C = kw$, where $k$ is the constant of proportionality.

Step2: Solve for $k$ using given values

We know $C = 1.68$ when $w = 14$. Rearrange to find $k$:
$k = \frac{C}{w} = \frac{1.68}{14}$

Step3: Calculate the value of $k$

$\frac{1.68}{14} = 0.12$

Answer:

D 0.12, as in $C = 0.12w$