Julia and tanveer are solving the questions shown in the table.
julia’s and tanveer’s math classwork: julia’s question/tanveer’s question
a cooler holds 8 quarts of juice. how many 1/4 quart servings of juice does the cooler hold?
how many quarts of juice are needed to give 8 people each a 1/4 quart serving of juice?

whose problem is best modeled by a division expression?
a. only julia’s
b. only tanveer’s
c. both julia’s and tanveer’s
d. neither julia’s nor tanveer’s

The problem which is best modeled by a division expression is,

A. only Julia's.

Step-by-step explanation:

The problem which is best modeled by a division expression is,

A. only Julia's.

Answer to Julia's problem:-

The number of quart servings which the cooler does hold is given by,

= 32

Answer to Tanveer's problem:-\

The number of quarts of juice needed to give 8 people each quart serving of juice is given by,

= 2

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

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80