Question

Please help ASAP

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 1

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

Explanation:

The equation for the cost of the first shipping option is y = 5 + 2x, where x represents the amount of pounds of the package. The cost, y, increases by $2 per pound of the package. So, if the package weighs 5 pounds, the cost of the first option would be y = 5 + 2 * 5 = $15.

The equation for the second shipping option is y = 15, representing a one-time fee of $15 to send the box. The cost is fixed at $15 regardless of the weight of the package.

Therefore, if the package weighs 5 pounds, the cost of both shipping options would be $15, and the two options would cost the same.