Mailboxes Plus sends packages overnight for $5 plus $0.25 per ounce. United Packages charges $2 plus $0.35 per ounce. Me. Molina

Question

3 years ago

11

ri noticed that his package would cost the same to mail using either service. How much does his package weigh?

1 answer:

Dennis_Churaev [7] · Answer 1 · 2022-05-26T05:55:10+03:00

The package weighs 30 ounces.

Step-by-step explanation:

Mailbox Plus charges;

Charges per ounce = $0.25

Let,

x be the number of ounces.

M(x)=5+0.25x

United packges charges;

Charges per ounce = $0.35

U(x) = 2+0.35x

Cost will be same when the functions are equal;

M(x) = U(x)

$5+0.25x=2+0.35x\\5-2=0.35x-0.25x\\3=0.10x\\0.10x=3\\$

Dividing both sides by 0.10

$\frac{0.10x}{0.10}=\frac{3}{0.10}\\x=30$

The package weighs 30 ounces.

Keywords: functions, division

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