Answer:
I) Yes, the graph represent a proportional relationship
ii) 1200miles/hour
iii) 66,000miles/hour
Question:
The complete question related to this found at brainly (question:14811794) is stated below:
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. Does the graph represent a proportional relationship? Justify your answer.
What is the constant of proportionally, k?
Determine the number of miles the probe travels in 5.5 hours.
Step-by-step explanation:
Find attached the graph.
i) We are informed the graph shows the relationship between x.
For the graph to represent a proportional relationship, it must meet the condition y = kx
Where y is the dependent variable
x is the independent variable
k = constant of proportionality
From the graph, y = distance in miles
x= time in hours
y = kx is a linear equation with no intercept
The graph shows a straight line starting from origin. Therefore, the graph represent a proportional relationship.
ii) To determine k, we pick any value of y that corresponds to a value of x on the graph and insert in the equation: y = kx
For coordinates (2, 24000)
When y = 24000miles, x = 2hours
24000 = k × 2
k = 24000/2 = 12000miles/hour
Therefore, the constant of proportionally, k = 12000miles/hour
ii) To determine the number of miles the probe travels in 5.5 hours, we would use the relationship between y and x.
since k = 12000, the relationship:
y = 12000x
When x = 5.5hours, y = ?
y = 12000×5.5
y = 66,000miles/hour
Therefore, the number of miles the probe travels in 5.5 hours = 66,000miles/hour
