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You are sending a care package to a friend for her birthday. You are trying to decide which mail service to use. 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. For how heavy a package, in pounds, will the cost be the same?

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For 21 pounds, the cost of both the companies will be same.

Step-by-step explanation:

Given,

Cost of first pound at UPS = $7

Cost of additional pounds = $0.20 per pound

Let,

x be the number of additional pounds.

U(x) = 7+0.20x

Cost of first pound at FedEx = $5

Cost of additional pounds = $0.30 per pound

F(x) = 5+0.30x

For the cost to be same;

U(x) = F(x)

[tex]7+0.20x=5+0.30x\\7-5=0.30x-0.20x\\2=0.1x\\0.1x=2[/tex]

Dividing both sides by 0.1

[tex]\frac{0.1x}{0.1}=\frac{2}{0.1}\\x=20[/tex]

Total weight = 20 + first pound = 20 +1 = 21 pounds

For 21 pounds, the cost of both the companies will be same.

Keywords: function, variable

Learn more about functions at:

  • brainly.com/question/11007026
  • brainly.com/question/11207748

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