Maths-
General
Easy
Question
The line graph shows the total length, in miles, of major commercial railroad tracks in the United States from 1916 to 1976
Length of Major Commercial Railroad Tracks in the United States
The average rate of change, in miles per year, of the total length of major commercial railroad tracks in the United States from 1916 to 1926 is m. What is the value of m ?
The correct answer is: 2400 (in miles per year)
The total length of track in 1916 = 397,000 miles (given in graph)
The total length of track in 1926 = 421,000 miles (given in graph)
The change in total length of track = 421,000 miles - 397,000 miles = 24,000 miles.
No.of years = 1926 -1916 = 10 years .
The average rate of change = change in total length / no.of years
⇒ 24,000 miles / 10 yr = 2,400 (miles per year )
Related Questions to study
Maths-
Eyespot is a disease in corn that is caused by a fungus. An agricultural researcher investigated whether the presence of eyespot necessitated treatment of a cornfield using fungicide. The table shows the relationship between the presence of eyespot in a cornfield and the need to use fungicide.
According to the table, what fraction of the cornfields where an eyespot was observed needed fungicide?
Eyespot is a disease in corn that is caused by a fungus. An agricultural researcher investigated whether the presence of eyespot necessitated treatment of a cornfield using fungicide. The table shows the relationship between the presence of eyespot in a cornfield and the need to use fungicide.
According to the table, what fraction of the cornfields where an eyespot was observed needed fungicide?
Maths-General
Maths-
The graph of the equation y =mx + b, where m and b are constants, is shown in the xy-plane. What is the value of m ?
The graph of the equation y =mx + b, where m and b are constants, is shown in the xy-plane. What is the value of m ?
Maths-General
Maths-
The points in the figure shown lie in the same plane. If △ABF is congruent to △ EDG, where ∠A corresponds to ∠E and ∠B corresponds to ∠D, what is the measure, in degrees, of ∠GCF ? (Disregard the degree symbol when gridding your answer.)
The points in the figure shown lie in the same plane. If △ABF is congruent to △ EDG, where ∠A corresponds to ∠E and ∠B corresponds to ∠D, what is the measure, in degrees, of ∠GCF ? (Disregard the degree symbol when gridding your answer.)
Maths-General
Maths-
The scatterplot shows the percent of flights with delayed departures and the percent of flights with delayed arrivals, by departing airport, for 10 US airports in a certain one-year period. A line of best fit is also shown. For how many of the 10 airports was the percent of flights with delayed arrivals less than predicted by the line of best fit?
The scatterplot shows the percent of flights with delayed departures and the percent of flights with delayed arrivals, by departing airport, for 10 US airports in a certain one-year period. A line of best fit is also shown. For how many of the 10 airports was the percent of flights with delayed arrivals less than predicted by the line of best fit?
Maths-General
Maths-
A survey asked a class of 30 students how many siblings they have. The number of students who have one sibling is 3 times the number of students, n, who have two or more siblings. If 6 students have no siblings, which of the following equations represents this situation?
A survey asked a class of 30 students how many siblings they have. The number of students who have one sibling is 3 times the number of students, n, who have two or more siblings. If 6 students have no siblings, which of the following equations represents this situation?
Maths-General
Maths-
In the figure above, the circle has center O. What is the area of the shaded region?
In the figure above, the circle has center O. What is the area of the shaded region?
Maths-General
Maths-
Lines q and r in the xy-plane are perpendicular and intersect at the origin. If line r passes through (1, k), what is the equation of line q ?
Lines q and r in the xy-plane are perpendicular and intersect at the origin. If line r passes through (1, k), what is the equation of line q ?
Maths-General
Maths-
For the quadratic equation shown, b is a constant. If the equation has no real solutions, which of the following must be true?
For the quadratic equation shown, b is a constant. If the equation has no real solutions, which of the following must be true?
Maths-General
Maths-
An airplane uses approximately 5 gallons of fuel per mile flown. If the plane has 60,000 gallons of fuel at the beginning of a trip and flies at an average speed of 550 miles per hour, which of the following functions estimates the amount of remaining fuel A (t), in gallons, hours after the trip began?
An airplane uses approximately 5 gallons of fuel per mile flown. If the plane has 60,000 gallons of fuel at the beginning of a trip and flies at an average speed of 550 miles per hour, which of the following functions estimates the amount of remaining fuel A (t), in gallons, hours after the trip began?
Maths-General
Maths-
What is the median of the data set summarized in the frequency table?
What is the median of the data set summarized in the frequency table?
Maths-General
Maths-
Which of the following represents the positive number r increased by ?
Which of the following represents the positive number r increased by ?
Maths-General
Maths-
Which of the following is equivalent to the expression above for
Which of the following is equivalent to the expression above for
Maths-General
Maths-
The graph of y =r(x) is shown in the xy-plane
If a,b, and c are positive constants, which of the following could define the function r ?
The graph of y =r(x) is shown in the xy-plane
If a,b, and c are positive constants, which of the following could define the function r ?
Maths-General
Maths-
How many solutions does the system of equations have?
How many solutions does the system of equations have?
Maths-General
Maths-
A company found that the average customer rating of a certain product can be used to estimate the total income from that product, according to the equation y=44x + 500, where is the income, in dollars, and x is the average customer rating. Which of the following best describes the slope of the graph of the equation in the xy-plane?
A company found that the average customer rating of a certain product can be used to estimate the total income from that product, according to the equation y=44x + 500, where is the income, in dollars, and x is the average customer rating. Which of the following best describes the slope of the graph of the equation in the xy-plane?
Maths-General