Khalid and jesse took different overnight trains. the graph shows the relationship between the total distance khalid traveled and the time in hours. the distance jesse traveled after x hours is given by the equation y = 150x. who, if anyone, traveled at a faster speed? use the drop-down menus to explain your answer.

Khalid’s rate is ___140_ miles per hour. Jesse’s rate is _150___ miles per hour. So, _Jesse’s___ train traveled at a faster speed.

Step-by-step explanation:

The general equation of a straight line is

y = mx + b

for y = 150x

We have the slope as 150

This is 150 miles/hour

This relates to Jesse’s train speed

for Khalid, we have his own speed obtainable from the graph

The speed is simply the slope of the graph

We proceed to select two points from the graph and find the slope

The points are; ((1,140) and (4,560)

Mathematically, the slope will be;

m = (y2-y1)/(x2-x1)

m = (560-140)/(4-1) = 420/3 = 140 miles per hour

Khalid’s rate is ___140_ miles per hour. Jesse’s rate is _150___ miles per hour. So, _Jesse’s___ train traveled at a faster speed.

Step-by-step explanation:

The general equation of a straight line is

y = mx + b

for y = 150x

We have the slope as 150

This is 150 miles/hour

This relates to Jesse’s train speed

for Khalid, we have his own speed obtainable from the graph

The speed is simply the slope of the graph

We proceed to select two points from the graph and find the slope

The points are; ((1,140) and (4,560)

Mathematically, the slope will be;

m = (y2-y1)/(x2-x1)

m = (560-140)/(4-1) = 420/3 = 140 miles per hour

Khalid’s rate is 140 mi/h. Jesse’s rate is 150 miles per hour

So, Jesse’s train traveled at a faster speed

Step-by-step explanation:

Here, we want to compare speeds

For Jesse’s train, the speed is 150 mi/h

we got this from the fact that the equation of a straight line is represented as;

y = mx + b

where m which is the slope represents the rate of change

m here is 150

For Khalid’s;

we can get his own rate from the graph

This can be obtained using the slope

We can simply have this as ;

m = (y2-y1)/(x2-x1)

Let us have two points

(4,560) and (0,0)

Thus;

m = 560/4 = 140 mi/h

Hence;

Khalid’s rate is 140 mi/h. Jesse’s rate is 150 miles per hour

So, Jesse’s train traveled at a faster speed

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The answer is in the image 

The total nom of  code that can be used is equal to 5+3 = 8

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The answer is in the image