Question

Two domestic courier services charge as per the functions y = 4x + 1 and y = 3x + 2, where x represents the weight of the parcel in pounds and y represents the total cost of the parcel. For what weight is the total cost the same in both services?

A .3 pounds B .2 pounds C .1 pound D. 0.5 pound

Answer 1

Weight of the parcel in pounds = 1 pound

Explanation:

Given:

y = 4x + 1 ---------------------Eq1

y = 3x + 2 ----------------------Eq2

Where,

x = weight of the parcel in pounds

y = total cost of the parcel

Find:

From Eq1 and Eq2, by using Substitution method.

y = 4x + 1 ---------------------Eq1

y = 3x + 2 ----------------------Eq2

So,

3x + 2 = 4x + 1

4x - 3x = 2 - 1

x = 1

Weight of the parcel in pounds = 1 pound in both services is equal