PLZ HELP PLZ ANSWER HONESTLY TYSM!! The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below: A graph titled Motion of a Car is shown with Time in hours labeled on x-axis and Distance from Starting Point in miles labeled on y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, and the scale on the y-axis shows the numbers 0, 13, 26, 39, 52, 65, 78. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 2, 26. The second straight line joins 2, 26 and 3,26 and the third straight line joins ordered pair 3,26 with the ordered pair 5,52.

Which of the following best describes the motion of the car shown?

A. It travels for 2 hours, then stops for 3 hours, and finally travels again for 2 hours.
B. It travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hours.
C. It travels for 2 hours, then stops for 1 hour, and finally travels again for 5 hours.
D. It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.

Plz explain and show your work :3 Thanks Peeps

D. It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.

Step-by-step explanation:

From the pair (0, 0) to (2, 26), we can see over a period of two hours, the car moved 26 miles, as the distance went from 0 to 26.

From the pair (2, 26) to (3, 26), we can see over the course of an hour, the car maintained the same distance, 26 miles, the entire time. This means that it stopped. We can rule out options A and B since those include a stop of 3 hours, when the stop is actually only 1.

From the pair (3, 26) to (5, 52), we can see over a time period of 2 hours, the car moved from 26 to 52 miles, so in other words it travelled. We can rule out C because the car only travelled 2 hours, from hour 3 to hour 5.

This leaves us with D as the answer, which perfectly fits the graph.

D

Step-by-step explanation:

(It may be wrong) The answer is D because the car's starting point is at the origin (0,0) and goes up and right on both axis by 2 squares and drives for 2 hours (2,26), It then for and hour because only the x axis moves to (3,26) and the y axis doesn't shift then it continues to move up by 2 on both sides meaning that it traveled for another 2 hours.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

x + 4/7

step-by-step explanation:

use cymath