Answer:
the second choice
1800x+3400y<64000
Step-by-step explanation:
the first info that the question gives us is that the cost has to be less than 64,000. since we are setting up an inequality for the cost, we need the side that we dont know (the side across from the 64000) to be less than 64,000. this should tell you that you want to use a less than sign (<) in your answer. this immediately tells you that the top and bottom choices are incorrect since they have greater than signs. this only leaves the middle two choices that can be your answer.
the second thing we can work with is the fact that the question gives costs (and variables) for TWO different sizes of shipping containers. this tells us that we must include both sizes into the inequality. to do this, we want to multiply the price of each shipping container by the number of that type of shipping container that the company wants. this means we would multiply "1800" (the cost of a standard container) by "x" (the number of standard containers ordered). you do the same thing for large containers. since you want to include both of them, you add these two products together.
finally, we want to combine all of this together. we know that only the middle two choices are still good because theyre the only ones that include a less than sign. next, we know that we want to account for both types of shipping containers, we need to use both x and y along with their respective prices. when you look at the two middle choices, the only one that uses both x and y multiplied by the costs of each container in the right order is the second one. this is your answer.
