Question

Shipping rates for Company A and Company B are shown in the tables below. Which company has shipping rates that you can represent using an equation of the form y = kx? Use the drop-down menus to show your answer. PLZ HELP!!!!!

Answer 1

Company B; the ratios of cost to weight are equivalent.

Step-by-step explanation:

Step 1:

In the equation, $y=kx$ k is the constant of proportionality.

If the values are in accordance with $y=kx$, the values of k will be constant for all the values.

So we determine the values of k for both the companies and see which has a constant k.

If $y=kx, k = \frac{y}{x}$. In these tables, y is the total cost and x is the weight in lbs.

Step 2:

For company A,

when $y=10.55, x=1, k = \frac{10.55}{1} = 10.55,$

when $y=10.85, x=2, k = \frac{10.85}{2} = 5.425,$

when $y=11.15, x=3, k = \frac{11.15}{3} = 3.71666.$

For company B,

when $y=2.75, x=1, k = \frac2.75}{1} = 2.75,$

when $y=5.50, x=2, k = \frac{5.50}{2} = 2.75,$

when $y=8.25, x=3, k = \frac{8.25}{3} = 2.75.$

So company B has a constant value of $k=2.75$.