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?

1 pound

Step-by-step explanation:

Given the cost function of two domestic courier services.

y=4x+1 y=3x+2

We want to determine the weight (x) at which the costs (y) will be the same.

Since y=4x+1 and y=3x+2, then:

4x+1=3x+2

4x-3x=2-1

x=1 pound

When the weight of the parcel is 1 pound, the total cost of the parcel will be the same for the two domestic courier.