Maths-
General
Easy

Question


The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.
The relationship between the monthly rental price r, in dollars, and the property’s purchase price p, in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?

  1. r(p) = 2.5p - 870
  2. r(p) = 5p - 165
  3. r(p) = 6.5p - 440
  4. r(p) = 7.5p - 10

The correct answer is: r(p) = 7.5p - 10


    • We have given that the linear function that represents the relationship will be in the linerar form like
    r(p) = ap + b,
    where a and b are constants
    and r(p) = monthly rental price( in dollars) of a property
    price = p thousands of dollars.
    • According to the table, (70, 515) and (450, 3,365) are ordered pairs that should satisfy the function, which leads to the system of equations below.
    • 70a + b = 515
    • 450a + b= 3365
    • Subtracting side by side the first equation from the second
    450a+b-70a-b=3365-515
    380a = 2850;
    • Solving for a gives
    a= 2,850/380= 7.5
    • Substituting 7.5 for a in the first equation of the system gives
    525 + b = 515;
    • Solving for b gives
    b = −10.
    • Therefore, the linear function that represents the relationship is
    r(p) = 7.5p − 10.
    Choices A, B, and C are incorrect because the coefficient of p, or the rate at which the rental price, in dollars, increases for every thousand-dollar increase of the purchase price is different from what is suggested by these choices.

    Related Questions to study

    General
    Maths-


    In a survey, 607 general surgeons and orthopedic surgeons indicated their major professional activity. The results are summarized in the table above. If one
    of the surgeons is selected at random, which of the following is closest to the probability that the selected surgeon is an orthopedic surgeon whose indicated
    professional activity is research?


    In a survey, 607 general surgeons and orthopedic surgeons indicated their major professional activity. The results are summarized in the table above. If one
    of the surgeons is selected at random, which of the following is closest to the probability that the selected surgeon is an orthopedic surgeon whose indicated
    professional activity is research?

    Maths-General
    General
    Maths-

    1 half left parenthesis 2 x plus y right parenthesis equals 21 over 2
    y equals 2 x
    The system of equations above has solution (x, y). What is the value of x ?

    1 half left parenthesis 2 x plus y right parenthesis equals 21 over 2
    y equals 2 x
    The system of equations above has solution (x, y). What is the value of x ?

    Maths-General
    General
    Maths-

    In State X, Mr. Camp’s eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth‑grade class size in the state is 26. If the students in Mr. Camp’s class are representative of students in the state’s eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth‑grade students in the state who have fewer than two siblings?

    In State X, Mr. Camp’s eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth‑grade class size in the state is 26. If the students in Mr. Camp’s class are representative of students in the state’s eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth‑grade students in the state who have fewer than two siblings?

    Maths-General
    parallel
    General
    Maths-

    Which of the following is equivalent to the sum of the expressions a2 - 1 and a + 1 ?

    Which of the following is equivalent to the sum of the expressions a2 - 1 and a + 1 ?

    Maths-General
    General
    Maths-

    Horsepower and watts are units of measure of power. They are directly proportional such that 5 horsepower is equal to 3730 watts. How much power, in watts, is equal to 2 horsepower?

    Horsepower and watts are units of measure of power. They are directly proportional such that 5 horsepower is equal to 3730 watts. How much power, in watts, is equal to 2 horsepower?

    Maths-General
    General
    Maths-

    2(p + 1) + 8(p - 1) = 5p
    What value of p is the solution of the equation above?

    2(p + 1) + 8(p - 1) = 5p
    What value of p is the solution of the equation above?

    Maths-General
    parallel
    General
    Maths-

    fraction numerator a minus b over denominator a end fraction equals c
    In the equation above, if a is negative and b is positive, which of the following must be true?

    fraction numerator a minus b over denominator a end fraction equals c
    In the equation above, if a is negative and b is positive, which of the following must be true?

    Maths-General
    General
    Maths-

    square root of k plus 2 end root minus x equals 0
    In the equation above, k is a constant. If x = 9, what is the value of K ?

    square root of k plus 2 end root minus x equals 0
    In the equation above, k is a constant. If x = 9, what is the value of K ?

    Maths-General
    General
    Maths-

    square root of x plus 28 end root minus 2 square root of x plus 1 end root equals 0
    What value of x satisfies the equation above?

    Note:
    Whenever we encounter a square root while solving an equation, our first attempt should be to somehow remove the square root by squaring both sides and get a simpler equation to solve. Another way to find the value of x which satisfies the equation would be to simply put the values in the options in the equation and check if it is satisfied

    square root of x plus 28 end root minus 2 square root of x plus 1 end root equals 0
    What value of x satisfies the equation above?

    Maths-General

    Note:
    Whenever we encounter a square root while solving an equation, our first attempt should be to somehow remove the square root by squaring both sides and get a simpler equation to solve. Another way to find the value of x which satisfies the equation would be to simply put the values in the options in the equation and check if it is satisfied

    parallel
    General
    Maths-

    y ≤3x +1
    x – y  >1
    Which of the following ordered pairs ( x, y)satisfies the system of inequalities above?

    y ≤3x +1
    x – y  >1
    Which of the following ordered pairs ( x, y)satisfies the system of inequalities above?

    Maths-General
    General
    Maths-

    The painting The Starry Night by Vincent van Gogh is rectangular in shape with height 29 inches and width 36.25 inches. If a reproduction was made where each dimension is 1 third the corresponding original dimension, what is the height of the reproduction, in inches ?

    The painting The Starry Night by Vincent van Gogh is rectangular in shape with height 29 inches and width 36.25 inches. If a reproduction was made where each dimension is 1 third the corresponding original dimension, what is the height of the reproduction, in inches ?

    Maths-General
    General
    Maths-

    Which of the following is an example of a function whose graph in the xy-plane has no x-intercepts?

    Which of the following is an example of a function whose graph in the xy-plane has no x-intercepts?

    Maths-General
    parallel
    General
    Maths-

    Maria plans to rent a boat. The boat rental costs $60 per hour, and she will also have to pay for a water safety course that costs $10. Maria wants to spend no more than $280 for the rental and the course. If the boat rental is available only for a whole number of hours, what is the maximum number of hours for which Maria can rent the boat?

    Maria plans to rent a boat. The boat rental costs $60 per hour, and she will also have to pay for a water safety course that costs $10. Maria wants to spend no more than $280 for the rental and the course. If the boat rental is available only for a whole number of hours, what is the maximum number of hours for which Maria can rent the boat?

    Maths-General
    General
    Maths-

    What are the solutions of the quadratic equation 4 x squared minus 8 x minus 12 equals 0 ?

    What are the solutions of the quadratic equation 4 x squared minus 8 x minus 12 equals 0 ?

    Maths-General
    General
    Maths-

    In the xy-plane, the point (2, 5) lies on the graph of the function f. If f(x)= k - x2 , where k is a constant, what is the value of k ?

    In the xy-plane, the point (2, 5) lies on the graph of the function f. If f(x)= k - x2 , where k is a constant, what is the value of k ?

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.