1. Next door neighbors attend the same school but take different routes to go between home and campus. Student A’s mom drives a distance of 12 miles and takes about 30 minutes.
Student B’s dad drives a distance of 11.5 miles and takes about 29.5 minutes.

Which parent is driving at a faster rate and how do you know?

2. Which of the following are equivalent to 75 mi/hr?

a. 1 mi/75 hr
b. 25 mi/20 min
c. 37.5 mi/50 min
d. 150 mi/1.5 hr
e. 225 mi/3 hr

a framing bias

step-by-step explanation:

rodrigo is subject to a framing bias i believe.

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