A retailer charges a flat handling fee of $5.00, plus $0.75 per quarter pound, to ship an item. Bailey pays $9.50 to have an item shipped from the retailer. What is the weight of the item?

Answer 1

See a solution process below:

The formula for the charge is:

#c = f + rw#

Where:

#c# is the total cost: $9.50 for this problem.
#f# is the fixed cost: $5.00 for this problem
#r# is the rate for the variable charge: #($0.75)/(0.25"lb")# or #($3.00)/"lb"# for this problem,
#w# is the weight being shipped. What we are solving for in this problem.
Substituting and solving for #w# gives:
#$9.50 = $5.00 + ($3.00)/"lb"w#
#$9.50 - color(red)($5.00) = $5.00 - color(red)($5.00) + ($3.00)/"lb"w#
#$4.50 = 0 + ($3.00)/"lb"w#
#$4.50 xx color(blue)("lb")/(color(red)($)color(red)(3.00)) = ($3.00)/"lb"w xx color(blue)("lb")/(color(red)($)color(red)(3.00))#
#(color(red)(cancel(color(black)($)))4.50) xx color(blue)("lb")/(cancel(color(red)($))color(red)(3.00)) = (color(red)(cancel(color(black)($3.00))))/color(blue)(cancel(color(black)("lb")))w xx cancel(color(blue)("lb"))/(cancel(color(red)($)color(red)(3.00)))#
#4.50/3.00color(blue)("lb") = w#
#1.5"lb" = w#
#w = 1.5"lb"#
The weight of the item Bailey shipped was #color(red)(1.5"lb")#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

Let ( w ) be the weight of the item in quarter pounds.

The total cost of shipping can be represented as:

[ \text{Total cost} = \text{Flat handling fee} + \text{Cost per quarter pound} \times \text{Weight in quarter pounds} ]

Given that Bailey pays $9.50 to have the item shipped:

[ 9.50 = 5.00 + 0.75w ]

Solve for ( w ) to find the weight of the item.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7