Mathematics, 16.11.2019 23:31 gonzalesalexiaouv1bg

Aschool system is reducing the amount of dumster loads of trash removed each week. in week 5, there were 40 dumser loads of waste removed. in week 10, there were 30 dumster loads removed. assume that the reduction in the amount of waste each week is linear. write an equation in function form to show the amount of trash removed each week.

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The weeks and loads of waste removed serve as the x and y coordinates in the equation you're looking for. Using the coordinates, you can find the slope of the line and then use that slope along with ONE of the coordinates to solve for b, the y-intercept. Use the general linear formula: y = mx + b, where m is the slope and b is the y-intercept. Using the coordinates find the slope:y2 - y1/x2 - x1. Our particular coordinates look like this in that formula: 30-40/10-5 is a slope of -2. Now that we have the slope, use one of the coordinates to solve for b, the y intercept: 30 = -2(10) + b. That is subbing in the x value and the y value of one of the coordinates into the linear form of the equation, leaving us to solve for b. 30 = -20 + b and b = 50. So filling that in along with our slope gives us a line of y = -2x + 50. And that's the equation.

Answer from: Quest

idk i would have to be there to under stand it

step-by-step explanation:

idk i would have to be there to under stand it

Answer from: Quest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

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Aschool system is reducing the amount of dumster loads of trash removed each week. in week 5, there...

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