Question
A customer at a shipping store is planning to send a package and is considering two options. The customer can send a package for $4, plus an additional $2 per pound. The cost, y, can be represented by the equation y = 4 + 2x, where x represents the amount of pounds of the package. Another option is that the customer can pay a one-time fee of $12 to send the box, represented by the equation y = 12.
Based on the graph of the system of equations, when will the cost of the two shipping options be the same?
A package that weighs 4 pounds will cost $12 for both options.
A package that weighs 8 pounds will cost $12 for both options.
A package that weighs 12 pounds will cost $20 for both options.
A package that weighs 12 pounds will cost $28 for both options.
Based on the graph of the system of equations, when will the cost of the two shipping options be the same?
A package that weighs 4 pounds will cost $12 for both options.
A package that weighs 8 pounds will cost $12 for both options.
A package that weighs 12 pounds will cost $20 for both options.
A package that weighs 12 pounds will cost $28 for both options.
Answers
GPT 3.5
To find the point at which the cost of the two shipping options is the same, we can set the two equations equal to each other:
4 + 2x = 12
Solving for x, we subtract 4 from both sides:
2x = 8
Dividing both sides by 2, we get:
x = 4
So, when the package weighs 4 pounds, the cost of both options is $12. Therefore, the correct answer is: A package that weighs 4 pounds will cost $12 for both options.
4 + 2x = 12
Solving for x, we subtract 4 from both sides:
2x = 8
Dividing both sides by 2, we get:
x = 4
So, when the package weighs 4 pounds, the cost of both options is $12. Therefore, the correct answer is: A package that weighs 4 pounds will cost $12 for both options.