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I proveded the method needed to solve the equation, the base price is 15.5 I need the surcharge for each additional pound United Express, a
I proveded the method needed to solve the equation, the base price is 15.5 I need the surcharge for each additional pound
United Express, a national package delivery service, charges a base price for overnight delivery of packages weighing 1 pound or less and a surcharge for each additional pound (or fraction thereof). A customer is billed $23.00 for shipping a 3-pound package and $79.25 for a 18-pound package. Find the base price and the surcharge for each additional pound. The base price is $ 15.50 The surcharge for each additional pound is $4.02 United Express, a national package delivery service, charges a base price for overnight delivery of packages weighing 1 pound or less and a surcharge for each additional pound (or fraction thereof). A customer is billed 543.30 for shipping a 5-pound package and $117.55 for a 20-pound package. Find the base price and the surcharge for each additional pound. To find the base price and surcharge for shipping a package via United Express, use the information about shipping each package to create a system of linear equations in two variables. Each equation will be in the form y=mx+b, where is the surcharge for each additional pound, x is the number of pounds the package weighs over 1 pound, and b is the base price for shipping a package. First translate the shipping information for shipping a 5-pound package into an equation 43.30 = 4m+b Now translate the shipping information for shipping a 20-pound package into an equation. 117.55 = 19m+b Now solve the system of equations below using elimination by addition. 43.30 = 4m+b 117.55 = 19m+b To solve the system, multiply the first equation by - 1 and add the result to the second equation. 117.55 = 19m + - 43.30 = - 4m+ (-5) 74 25 15m b Solve form 74.25 = 15m m= 4.95 Now substitute the value for minto either original equation to find b. 43.30 = 4m+b 43.30 = 44.95) + b b=23.50 Since the variable b in the system of equations is the base price, the base price charged by United Express is $23.50. The variable m in the system of equations is the surcharge for each additional pound. Thus, the surcharge charged by United Express is $4.95Step by Step Solution
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