*50 points -- freshmen ~ algebra i *

large boxes weigh 75 pounds, and small boxes weigh 40 pounds.

a. write an inequality that represents the numbers of large, x, and small, y, boxes a 200-pound delivery person can take on the elevator.

b. select the reason(s) why some solutions of the inequality might not be practical in real life.

> the number of boxes must be a whole number.

> the number of boxes must be a rational number.

> it is unlikely that one person will carry 20 large boxes.

> it is unlikely that one person will carry 45 small boxes.

for a, i got 75x + 40y ≤ 200 i got it wrong but i'm not sure why?

The maximum weight of boxes that can be placed into the elevator is:

It should be noted that Y must be an even integer for the equivalence to hold, whereas X might be odd or even because 40X is always even.

Learn more:

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Step-by-step explanation:

so we know X= Numbers of Large boxes and Y= Numbers of Small boxes

And we know the large boxes weigh 75 pounds and the small boxes weigh 40 pounds

So I would have to say the the same except you have to flip the inequality sign like this:

75x + 40y

200

And if that doesnt somehow work and the question is wording it wrong then

My guess for why its wrong us because its not in slope intercept form Although you still can solve for either varible ( x or y) using standard form also.

So to get from standard form to Slope intercept form (y=mx+b) these are the steps:

Ax+by=C

75x + 40y ≤ 200

Turn it into a linear equation.

75x+ 40y =200

In order to go from one form to another, all you have to do is change the order of the given numbers. First you want to move the Ax to the opposite side of the equation, by either adding or subtracting it. At this point your equation will be set up By = -Ax + C. Then you want to divide the B from the By and the rest of the equation. Therefore you will have y = - Ax/B + C/B. This is the same thing as the slope-intercept form, just a few of the letters are different.

40y=-75x+200 first subtract 75x

y=−1.875×+5 then dived every varible (everything) by 40. and you have your Linear eqaution.

And your second question would be A. >The number of boxes must be a whole number.

Because you cannot split boxes in half or in any quarter in a real life scenario.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

a

step-by-step explanation:

the answer is a