Maths-
SAT
Easy
Question
A geographer found that the land area of Aruba is 75 square miles and the land area of Bermuda is 19 square miles. Based on these data, the geographer used the equation 75x+19y = T to estimate the total number of residents, T, of the two islands. Which is the best interpretation of x in this context?
- The total number of residents of Aruba
- The number of square miles of Aruba
- The total number of residents of both islands
- The population density, in residents per square mile, of Aruba.
The correct answer is: The population density, in residents per square mile, of Aruba.
Population density =
Here 75 square miles = Total area of aruba.
T= Total population of both aruba & Bermuda
75= Total population of Aruba.
=
= Population density of Aruba.
Related Questions to study
maths-
The graph of f is shown. According to the graph, what is the value of f(0)?
The graph of f is shown. According to the graph, what is the value of f(0)?
maths-sat
maths-
The function f is defined by f(x)=3x . What is the value of f(2)?
The function f is defined by f(x)=3x . What is the value of f(2)?
maths-sat
maths-
A large company has 19 mainframe computers of a certain class. The scatterplot above shows the value and age for each of the 19 computers. A line of best fit for the data is also shown.
What is the number of computers for which the line of best fit predicts a value less than the actual value?
A large company has 19 mainframe computers of a certain class. The scatterplot above shows the value and age for each of the 19 computers. A line of best fit for the data is also shown.
What is the number of computers for which the line of best fit predicts a value less than the actual value?
maths-sat
maths-
A large company has 19 mainframe computers of a certain class. The scatterplot above shows the value and age for each of the 19 computers. A line of best fit for the data is also shown.
Based on the line of best fit, the estimated value of a 6-year-old computer is k thousand dollars, where k is an integer. What is the value of k ?
A large company has 19 mainframe computers of a certain class. The scatterplot above shows the value and age for each of the 19 computers. A line of best fit for the data is also shown.
Based on the line of best fit, the estimated value of a 6-year-old computer is k thousand dollars, where k is an integer. What is the value of k ?
maths-sat
maths-
The length, in meters, of the sides and the height of a parallelogram are shown in the figure. What is the area, in square meters, of the parallelogram?
The length, in meters, of the sides and the height of a parallelogram are shown in the figure. What is the area, in square meters, of the parallelogram?
maths-sat
maths-
4, 13, 5, 8, R, 5, 11
In the data set shown, R is an integer. If the median of the data set is 8 and R < 11, what is a possible value of R?
4, 13, 5, 8, R, 5, 11
In the data set shown, R is an integer. If the median of the data set is 8 and R < 11, what is a possible value of R?
maths-sat
maths-
(x - 3)4 = 0
What value of x makes the equation above true?
(x - 3)4 = 0
What value of x makes the equation above true?
maths-sat
maths-
x2 +bx+ 16 - 0
In the quadratic equation shown, b is a constant. For what values of b does the equation have only one solution?
x2 +bx+ 16 - 0
In the quadratic equation shown, b is a constant. For what values of b does the equation have only one solution?
maths-sat
maths-
Minato drove 390 miles. Part of the drive was along local roads, where his average speed was 20 miles per hour, and the rest was along a highway, where his average speed was 60 miles per hour. The drive took 8 hours. What distance, in miles, did Minato drive along local roads?
Minato drove 390 miles. Part of the drive was along local roads, where his average speed was 20 miles per hour, and the rest was along a highway, where his average speed was 60 miles per hour. The drive took 8 hours. What distance, in miles, did Minato drive along local roads?
maths-sat
maths-
The two-way table categorizes the change in value in July and August for 50 stocks. If one of the stocks that increased in value in August is chosen at random, what is the probability that the stock also increased in value in July?
The two-way table categorizes the change in value in July and August for 50 stocks. If one of the stocks that increased in value in August is chosen at random, what is the probability that the stock also increased in value in July?
maths-sat
maths-
In the given figure, is an angle. If what is
In the given figure, is an angle. If what is
maths-sat
maths-
W(L) = 0.04(1.22)L
The function W gives the estimated weight W(L), in pounds, of a rainbow trout based on its length L, in inches. Which of the following is the best interpretation of the number 1.22 in this context?
W(L) = 0.04(1.22)L
The function W gives the estimated weight W(L), in pounds, of a rainbow trout based on its length L, in inches. Which of the following is the best interpretation of the number 1.22 in this context?
maths-sat
maths-
A set of data is represented by the scatterplot in the portion of the xy-plane shown. Which of the following linear equations best fits the data?
A set of data is represented by the scatterplot in the portion of the xy-plane shown. Which of the following linear equations best fits the data?
maths-sat
maths-
A sports store had 60 backpacks in stock, some with wheels and some without wheels, before a new shipment of backpacks arrived. The number of wheeled backpacks in the new shipment was twice the number of wheeled backpacks already in stock, and the number of backpacks without wheels in the new shipment was five times the number of backpacks without wheels already in stock. After the new shipment arrived, there were 330 backpacks in the store. Before the shipment, there were x wheeled backpacks and y backpacks without wheels. Which of the following equations can be used with x + y = 60 to solve for x and y ?
A sports store had 60 backpacks in stock, some with wheels and some without wheels, before a new shipment of backpacks arrived. The number of wheeled backpacks in the new shipment was twice the number of wheeled backpacks already in stock, and the number of backpacks without wheels in the new shipment was five times the number of backpacks without wheels already in stock. After the new shipment arrived, there were 330 backpacks in the store. Before the shipment, there were x wheeled backpacks and y backpacks without wheels. Which of the following equations can be used with x + y = 60 to solve for x and y ?
maths-sat
maths-
The graph above shows the distribution of the number of years of experience for 25 teachers enrolled in an advanced-degree program at a particular university. If a 26th teacher with 2 years of experience is added to the program and to the data set, what will be the effect on the mean and median of the data set?
The graph above shows the distribution of the number of years of experience for 25 teachers enrolled in an advanced-degree program at a particular university. If a 26th teacher with 2 years of experience is added to the program and to the data set, what will be the effect on the mean and median of the data set?
maths-sat