Respuesta :
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.
[tex]7+0.20p[/tex]
FedEx charges $5 for the first pound and $0.30 for each additional pound.
[tex]5+0.30p[/tex]
To know the number of pounds it will take for UPS and FedEx to cost the same, we will equal both the equations.
[tex]7+0.20p=5+0.30p[/tex]
=> [tex]7-5=0.30p-0.20p[/tex]
=> [tex]2=0.10p[/tex]
=> p = 20
Hence, it will take 20 pounds to make both equal.
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:
[tex]\mathbf{UPS = 7 + 0.20p}[/tex] --- UPS charges
[tex]\mathbf{FedEx = 5 + 0.30p}[/tex] --- FedEx charges
When their charges are equal we have:
[tex]\mathbf{7 + 0.20p = 5 + 0.30p}[/tex]
Collect like terms
[tex]\mathbf{7 -5 = 0.30p - 0.20p}[/tex]
[tex]\mathbf{2 = 0.10p}[/tex]
Divide both sides by 0.10
[tex]\mathbf{20 = p}[/tex]
Rewrite as:
[tex]\mathbf{p = 20}[/tex]
This means that, it will take 20 pounds for both charges to be the same.
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