Question

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. Let p represent the number of pounds. How many pounds will it take for UPS and FedEx to cost the same? Explain.
Write an equation and solve (hint: since it is asking you about costing the same, think about what goes on either side of the equals sign).



(please answer soon, this is due today)

Answer 1

Answer:

The answer is 20 pounds.

Step-by-step explanation:

Let p represent the number of pounds.

UPS charges $7 for the first pound, and $0.20 for each additional pound.

$7+0.20p$

FedEx charges $5 for the first pound and $0.30 for each additional pound.

$5+0.30p$

To know the number of pounds it will take for UPS and FedEx to cost the same, we will equal both the equations.

$7+0.20p=5+0.30p$

=> $7-5=0.30p-0.20p$

=> $2=0.10p$

=> p = 20

Hence, it will take 20 pounds to make both equal.

Answer 2

The charges of UPS and FedEx are illustrations of a linear function.

It will take 20 pounds for both charges to be the same.

We have the following parameters:

$\mathbf{UPS = 7 + 0.20p}$ --- UPS charges

$\mathbf{FedEx = 5 + 0.30p}$ --- FedEx charges

When their charges are equal we have:

$\mathbf{7 + 0.20p = 5 + 0.30p}$

Collect like terms

$\mathbf{7 -5 = 0.30p - 0.20p}$

$\mathbf{2 = 0.10p}$

Divide both sides by 0.10

$\mathbf{20 = p}$

Rewrite as:

$\mathbf{p = 20}$

This means that, it will take 20 pounds for both charges to be the same.

Read more about linear equations at:

https://brainly.com/question/11897796