Mathematics: Nadia is comparing costs for two brands of garden compost. For Brand A, the cost y for x bags is shown in the table. Number of Bags, x 3 5 Total Cost ($), y 8.01 13.35 For Brand B, the cost y can be represented by the equation y = 1.99x, where x represents the number of bags. Which brand costs less for 6 bags of compost? Brand__ How much less? __

Check the picture below.so, hmmm let s find first the slope of y = 1, hmmm let s pick two points off of it, say 1,1 and 3,1which of course is 0, but let s use the 0/2.now, a line perpendicular to that one, will have a negative reciprocal slope to it, that is,...

Nadia is comparing costs for two brands of garden

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amykookie24

02.01.2023

Mathematics

Check the picture below.

so, hmmm let's find first the slope of y = 1, hmmm let's pick two points off of it, say 1,1 and 3,1

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 1 &,& 1~) 
% (c,d)
&&(~ 3 &,& 1~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-1}{3-1}\implies \cfrac{0}{2}$

which of course is 0, but let's use the 0/2.

now, a line perpendicular to that one, will have a negative reciprocal slope to it, that is,

$\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{0}{2}\\\\
negative\implies -\cfrac{0}{ 2}\qquad reciprocal\implies \stackrel{und efined}{- \cfrac{ 2}{0}}$

What is the slope of a line that is perpendicular to the line y = 1?

What is the slope of a line that is perpendicular to the line y = 1?

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