Astore allows customers to fill their own bags of candy. glen decides he only wants caramels and candy corn. caramels sell for $0.95 per pound, and candy corn sells for $0.79 per pound. glens bag weighs 1.7 pounds and it costs him $1.48. if p is the number of caramels glen purchases, what expression could be used to represent the number of pounds of candy corn he purchases?

Step-by-step explanation:

Given:

Glen decides he only wants caramels and candy corn.

p is the number of caramels Glen purchases.

Let q be the number of candy corns Glen purchases

Since price per pound caramel is 0.95 cost of caramel

=0.95p

Since price per pound candy corns is 0.79 cost of caramel

=0.79q

Total pounds = Glens bag weight = p+q =1.7

and total cost = 0.95p+0.79q = 1.48

Hence we can write the number of pounds of candy corn in two ways

q = 1.7-p and

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 =.

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

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

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

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

slope of the solid line would be =.

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