Question

Great Freights, a local shipping company, bases its charges on the weight of the items being shipped. In addition to charging $0.40 per pound, Great Freights also charges a one-time fee of $10 to set up a customer’s account. a. How much does Great Freights charge a new customer to ship a package that weighs 20 pounds?

A. How much does Great Freights charge a new customer to ship a package that weighs 20 pounds?

B. How much does Great Freights charge a new customer to ship a package that weighs 50 pounds?

C. Estimate the weight of a package if Great Freights charges a new customer $45 to ship the package

D. Write an equation for the problem situation.





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Answer 1

A: 18

B: 30

C: You can make your own estimate, mine was 85 pounds and exact weight is 87.5 pounds

D: y = 0.4x + 10

Explanation:

This can be solved by creating an equation, and plugging in the values to see if they work.

Let x represent the weight in pounds of a package.

Let y represent the total cost of a new customer's shipment.

y (total cost) = 0.4x (extra cost to ship the package) + 10 (setting up an account)

Now we can test the various weights of the packages given to us in the problems:

A)

y = 0.4(20) + 10

y = 8 + 10

y = 18

It will cost $18 to ship a package that weight 20 pounds as a new customer.

B)

y = 0.4(50) + 10

y = 20 + 10

y = 30

It will cost $30 to ship a package that weighs 50 pounds as a new customer.

C)

I would estimate it to be about 85 pounds, I will find the exact amount down below:

45 = 0.4x + 10

We'll have to solve for x here:

Subtract 10 from both sides.

35 = 0.4x

Divide by 0.4 on both sides to isolate x.

87.5 = x

If you were charged $45 dollars to ship a package as a new customer, it would be 87.5 pounds heavy.

D)

We created an equation at the start to make solving these problems easier, our equation is y = 0.4x + 10.

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