Answer:
A)
Yes, the relationship is proportional.
B)
66,000 miles.
Step-by-step explanation:
A)
Yes, the graph represents a proportional relationship.
Since, A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if:
y=kx
for some constant k , called the constant of proportionality .
As y=12000x hence the relationship is proportional.
B)
We calculate the equation of the graph with the help of two points on the graph namely (2,24000) and (4,48000) with the help of slope-intercept form of the line.
y=mx+c where m denotes the slope of the line and c denotes the y-intercept of the line.
Here when x=2 y=24000 and when x=4 y=48000
Hence, 24000=2x+c
and 48000=4x+c
on subtracting the above two equations we have:
m=12000 and c=0
Hence, the equation of line is y=12000x
Now the value at x=5.5 is:
y=12000×5.5=66,000
Hence, the number of miles the probe travels in 5.5. hours is 66,000 miles.
y is directly proportional to the x linearly. And the relationship will be given as [tex]\rm y = 112,000\ x[/tex].
A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The graph shows the relationship between x (the amount of time in hours) and y (the distance traveled in miles, by a probe before it reaches Mars).
In the graph, a straight line is there.
Hence the relationship is a linear between x and y
We know that the equation of the linear system is given as,
[tex]\rm y = mx +c[/tex]
At x = 0, the value of y is also 0. Hence, the value of constant c is 0.
At x = 2, the value of y is 224,000. Then the value of m will be
2m = 224000
m = 112,000
Thus, y is directly proportional to the x linearly. And the relationship will be given as [tex]\rm y = 112,000\ x[/tex].
More about the linear system link is given below.
https://brainly.com/question/20379472
