Atrain was traveling at a constant speed. the table below shows the distance, in miles, the train traveled for the first 4 hours. write an equation to represent the relationship between t, the time, and d, the total distance traveled by the train. someone answer this its due

The answer is:

The equation that represents the relationship between the time (t) and the total distance (d) is:

From the given table, we can deduce that the traveled distance increases with a rate of 95 miles each hour. So, using that information, we can write an equation to represent the relationship between time (t), and the total distance (d).

Writing the equation, we have:

We need to consider that the speed is equal to:

Then, the equation will be:

Now, substituting the speed into the equation, we have:

Hence, the equation that represents the relationship between the time (t) and the total distance (d) is:

Have a nice day!

the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

  -3         -3  

y=-4x+5

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