Question

Two domestic parcel companies charge as per the functions given below. For what weight (x), the charge (y) is the same in both companies?

Company A: y = 2x + 3
Company B: y = 1.5x + 4

Answer 1

To find the weight for which both parcel companies charge the same, we set the two equations given for the companies equal to each other and solved for the weight (x), which is 2 units.

Step-by-step explanation:

To determine for what weight (x), the charge (y) is the same in both companies, we set the two functions equal to each other and solve for x.

Company A's function: y = 2x + 3
Company B's function: y = 1.5x + 4

Now, we'll set them equal to each other to solve for x:

2x + 3 = 1.5x + 4

Subtract 1.5x from both sides:

0.5x + 3 = 4

Subtract 3 from both sides:

0.5x = 1

Now, divide both sides by 0.5 to find x:

x = 2

So, for a weight of 2 units, both companies charge the same amount.