a customer at a shipping store is planning to send a package and is considering two options. the customer…

a customer at a shipping store is planning to send a package and is considering two options. the customer can send a package for $5, plus an additional $2 per pound. the cost, y, can be represented by the equation y = 5 + 2x, where x represents the amount of pounds of the package. another option is that the customer can pay a one - time fee of $15 to send the box, represented by the equation y = 15. 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 15 pounds will cost $35 for both options. a package that weighs 15 pounds will cost $25 for both options. a package that weighs 10 pounds will cost $15 for both options. a package that weighs 5 pounds will cost $15 for both options.

a customer at a shipping store is planning to send a package and is considering two options. the customer can send a package for $5, plus an additional $2 per pound. the cost, y, can be represented by the equation y = 5 + 2x, where x represents the amount of pounds of the package. another option is that the customer can pay a one - time fee of $15 to send the box, represented by the equation y = 15. 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 15 pounds will cost $35 for both options. a package that weighs 15 pounds will cost $25 for both options. a package that weighs 10 pounds will cost $15 for both options. a package that weighs 5 pounds will cost $15 for both options.

Answer

Explanation:

Step1: Set costs equal to each other

Set $5 + 2x = 15$

Step2: Isolate the term with $x$

Subtract 5 from both sides: $2x = 15 - 5$ $2x = 10$

Step3: Solve for $x$

Divide both sides by 2: $x = \frac{10}{2} = 5$

Step4: Verify total cost

Substitute $x=5$ into $y=5+2x$: $y = 5 + 2(5) = 15$

Answer:

A package that weighs 5 pounds will cost $15 for both options.