Mathematics, 23.07.2019 15:30 kim643

Clive finds that the line of best fit for the data has the equation y = 0.5x + 1.5. which statement best explains how removing the point (15, 7) would affect the slope of the line of best fit? a) the slope of the line of best fit would decrease because the point lies below the original line of best fit. b) the slope of the line of best fit would decrease because the point lies above the original line of best fit. c) the slope of the line of best fit would increase because the point lies below the original line of best fit. d) the slope of the line of best fit would increase because the point lies above the original line of best fit.

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C)The slope of the line of best fit would increase because the point lies below the original line of best fit.

The line of best fit is a line that best represents the data in a scatterplot. When you draw a line of best fit, you want it to roughly "balance out" the points above and below it on the scatter plot, making sure the points are distributed evenly.

It's easiest to visualize what a point above or beneath the graph would do. A point underneath that line would be "pulling the line down," so it would be decreasing the slope (making the line more horizontal). A point above the line would be "pulling the line up," so it would be increasing the slope.

1) Figure out where (15, 7) is in relation to the line of best fit. Plug x=15 into y = 0.5x + 1.5 to find where the line is when x=15:
$y = 0.5x + 1.5\\
y = 0.5(15) + 1.5\\
y = 9$

That means (15, 7) is under the line, since y=7 at x=15 for the point, but y=9 for the graph.

2) Since (15, 7) is under the line, you can imagine it to be "pulling the line of best fit down" and decreasing the slope. If it's removed then the line would become steeper (aka larger slope), making c the answer.

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C)The slope of the line of best fit would increase because the point lies below the original line of best fit.

Answer from: Quest

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

Answer from: Quest

Hey there, 128 *(2/3) = 85.3

85.3-64 = 21.3

so laura has already added 85.3 grams of chocolate powder and she has gone over the amount specified in the recipe by 21.3 grams

hope i ! have a great day!

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Clive finds that the line of best fit for the data has the equation y = 0.5x + 1.5. which statement...

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