Mathematics, 19.02.2020 01:34 kimlyn58p0wyn0

A conversation store sells 1\3 pound of one brand of tail mix for 1.50 and 1\2 of another brand of trail mix for 2.15. Which brand has a lower price per pound? Explain your reasoning.

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Answer from: jona187

Brand one offers a lower price per pound.

Step-by-step explanation:

We have been given that a conversation store sells 1/3 pound of one brand of tail mix for 1.50 and 1/2 of another brand of trail mix for 2.15. We are asked to find the brand which offers lower price per pound.

First of all, we will find price of per pound trail mix for each brand.

Since 1/3 pound of one brand of tail mix costs $1.50, so the cost of one pound trail mix would be 3 times $1.50 that is $3\times \$1.50=\$4.50$ .

Since 1/2 pound of other brand of tail mix costs $2.15, so the cost of one pound trail mix would be 2 times $2.15 that is $2\times \$2.15=\$4.30$ .

Since $4.30 is less than $4.50, therefore, brand one offers a lower price per pound.

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

Answer from: Quest

Idon’t know actually is more difficult

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A conversation store sells 1\3 pound of one brand of tail mix for 1.50 and 1\2 of another brand of t...