Select all the correct answers. Alan needs to drive 400 miles to reach Madison. He is driving at a constant speed of 55 miles per hour. The function y = 400 − 55x represents Alan’s distance in miles from Madison in terms of the number of hours he drives. Andrew is also driving at a constant speed to reach Madison. The table represents Andrew’s distance in miles from Madison in terms of the number of hours he drives.

x
y
1
323
3
209

Which statements about this situation are true?

Alan is driving at a faster speed.
Andrew is driving at a faster speed.
Alan and Andrew are driving at the same speed.
Alan was farther away from Madison when he started driving.
Andrew was farther away from Madison when he started driving.
Alan and Andrew started the same distance from Madison.

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

18.8cm hope i at all

step-by-step explanation: