. At Medina Middle School, 28 out of 350 the students ride bikes to school. At Rachel Carson School, 40 out of 500 students ride the bikes to school? Do both schools have the same rate? 2. According to the school survey 72 out of 400 students at Adams High School speak Spanish. If the rate is the same at Francis Lewis High School with the total population of 250, how many students speak Spanish at Francis Lewis High School?

3. Marco makes $24 for 6 hours of chores and Olivia makes $36 for 8 hours of chores. Are they getting the same rate of pay? Explain your reasoning.

Kindly check explanation

Step-by-step explanation:

Given the questions:

1.)

Medina schools :

Number of students = 350

Number who ride to school = 28

Rate = 28 / 350 = 0.08

Rachael Carson schools :

Number of students = 500

Number who ride to school = 40

40 / 500 = 0.08

Yes, they both have the same rate

2)

Adams high:

Number of students = 400

Spanish speakers = 72

Rate = 72 /400 = 0.18

Francis Lewis :

Number of students = 250

Since rate is the same,

Hence,

Number of Spanish speakers = 250 * 0.18 = 45 students

3.)

Marco Earns $24 for 6 hours worked

Olivia makes $36 for 8 hours worked

Marco's rate of pay :

Amount earned per hour : $24 / 6 = $4

Olivia's rate of pay :

$36 / 8 = $4.5

They do not earn at the same rate

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