2. Pens come in a package of 6, while notebooks come in a package of 5. Sill wants to purchase the
smallest number of pens and notebooks so that she
will have exactly 1 pen per notebook. How many
packages of pens and notebooks should Jill buy?
A. 3 packages of pens, 4 packages of
notebooks.
B. 4 packages of pens, 4 packages of
notebooks.
C. 5 packages of pens, 5 packages of
notebooks.
D. 5 packages of pens, 6 packages of
notebooks.

D. 5 packs of pens and 6 packs of notebooks

Step-by-step explanation:

5 packs * 6 per pack = 30 pens

6 packs * 5 per pack = 30 notebooks

gregory's graph is incorrect because it shows 2 inches of growth for each week when it should show 0.75 inches of growth each week.

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