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stanstapler
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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)

Verified Answer :

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.

MrRoyal

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

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