Question

The equation y = 2x + 3 represents the cost y of mailing a package that weighs x pounds. Graph the equation. How much does it cost to deliver this package when the weight is 5 pounds?

A) The cost is $13.
B) The cost is $12.
C) The cost is $11.
D) The cost is $10.
E) None of the above.

Answer 1

To graph the equation y = 2x + 3, plot points and connect them to form a straight line. The cost to deliver a 5-pound package is $13.

Step-by-step explanation:

To graph the equation y = 2x + 3, we can plot points on a coordinate plane. Choose different values for x and substitute them into the equation to find the corresponding value of y. For example, when x = 0, y = 3. When x = 1, y = 5. Plot these points and any others you find on the graph. Connect the points with a straight line, and you have the graph of y = 2x + 3.

To find the cost of delivering a 5-pound package, we substitute x = 5 into the equation y = 2x + 3 and solve: y = 2(5) + 3 = 10 + 3 = 13. Therefore, the cost to deliver the package when it weighs 5 pounds is $13.