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 $3, plus an additional $2 per pound. The cost, y, can be represented by the equation y = 3 + 2x, where x represents the amount of pounds of the package. Another option is that the customer can pay a one-time fee of $17 to send the box, represented by the equation y = 17.

Based on the graph of the system of equations, when will the cost of the two shipping options be the same?

A: A package that weighs 10 pounds will cost $17 for both options.
B: A package that weighs 7 pounds will cost $17 for both options.
C: A package that weighs 17 pounds will cost $31 for both options.
D: A package that weighs 17pounds will cost $37 for both options.

Answer 1

The answer is .B. Because we multiply 7 times 2 that give us 14 and add 14 to 3 that give us 17 so B is the correct answer

Answer 2

Answer: B

Explanation:

the question is what number do you replace X with to make Y equal 17.

the two equations are Y=3+2X and Y=17

we want to know what x equals when y is 17 so in the first equation we can replace y for 17 that gives the equation 17=3+2x

next you will minus 3 from both sides which would make the equation 14=2x

then you will divide both sides by 2 and that will give the equation 7=x

this makes the answer B because if the pacage weight is 7 then y will equal 17