Maths-
SAT
Easy

Question

Questions 31 and 32 refer to the following information

The length C(t), in inches, of a channel catfish in an Iowa river t years after the first year of life can be approximated by the linear function C. Some values of C(t) are given in the table above.
F(t) = 3t + 4
The length F(t), in inches, of a flathead catfish in the same Iowa river t years after the first year of life can be approximated by the linear function F, defined by the equation above.
Which of the following equations could define C as a function of t?

  1. C(t) = 2.5t + 6
  2. C left parenthesis t right parenthesis equals 2 over 5 t plus 8.5 
  3. C left parenthesis t right parenthesis equals 2.5 space t plus 8.5 
  4. C left parenthesis t right parenthesis equals 2 over 5 t plus 8.1 

The correct answer is: C(t) = 2.5t + 6


    c(t) = mx + b
    m =  fraction numerator 11 minus 8.5 over denominator 2 minus 1 end fraction equals 2.5 equals 5 over 2
    y = 5 over 2x + b substitute (1,8.5)
    8.5 = 2.5 + b
    b = 6
    c(t) = y =5 over 2 t + 6 = 2.5t + 6

    Related Questions to study

    SAT
    Maths-

    Questions 31 and 32 refer to the following information

    The length C(t), in inches, of a channel catfish in an Iowa river t years after the first year of life can be approximated by the linear function C. Some values of C(t) are given in the table above.
    F(t) = 3t + 4
    The length F(t), in inches, of a flathead catfish in the same Iowa river t years after the first year of life can be approximated by the linear function F, defined by the equation above.
    According to the model, which of the following is closest to the expected age, to the nearest whole year, of a flathead catfish that is 31 inches long?

    Questions 31 and 32 refer to the following information

    The length C(t), in inches, of a channel catfish in an Iowa river t years after the first year of life can be approximated by the linear function C. Some values of C(t) are given in the table above.
    F(t) = 3t + 4
    The length F(t), in inches, of a flathead catfish in the same Iowa river t years after the first year of life can be approximated by the linear function F, defined by the equation above.
    According to the model, which of the following is closest to the expected age, to the nearest whole year, of a flathead catfish that is 31 inches long?

    Maths-SAT
    SAT
    Maths-

    f left parenthesis x right parenthesis equals left parenthesis x plus 4 right parenthesis left parenthesis x minus 1 right parenthesis left parenthesis 2 space x minus 3 right parenthesis
    The function f is defined above. Which of the following is NOT an x-intercept of the graph of the function in the x y-plane?

    f left parenthesis x right parenthesis equals left parenthesis x plus 4 right parenthesis left parenthesis x minus 1 right parenthesis left parenthesis 2 space x minus 3 right parenthesis
    The function f is defined above. Which of the following is NOT an x-intercept of the graph of the function in the x y-plane?

    Maths-SAT
    SAT
    Maths-

    The graph of y=f(x) is a line in the xy-plane that passes through the point (0, 2) and has a slope of 5. Which of the following equations could define the function f ?

    The graph of y=f(x) is a line in the xy-plane that passes through the point (0, 2) and has a slope of 5. Which of the following equations could define the function f ?

    Maths-SAT
    parallel
    SAT
    Maths-

    If 1 half x minus 1 over 6 x equals 1 , what is the value of x?

    If 1 half x minus 1 over 6 x equals 1 , what is the value of x?

    Maths-SAT
    SAT
    Maths-


    In the figure, three lines intersect at point P. If x=65 and y=75,what is the value of z?


    In the figure, three lines intersect at point P. If x=65 and y=75,what is the value of z?

    Maths-SAT
    SAT
    Maths-

    h left parenthesis x right parenthesis equals x cubed plus a x squared plus b x plus c
    The function. h is defined above, where a, b, and c are integer constants. If the zeros of the function are -5, 6, and 7, what is the value of c?

    h left parenthesis x right parenthesis equals x cubed plus a x squared plus b x plus c
    The function. h is defined above, where a, b, and c are integer constants. If the zeros of the function are -5, 6, and 7, what is the value of c?

    Maths-SAT
    parallel
    SAT
    Maths-

    If t > 0 and (3t)- 5(3t) - 14 = 0,what is the value of t ?

    If t > 0 and (3t)- 5(3t) - 14 = 0,what is the value of t ?

    Maths-SAT
    SAT
    Maths-

    2x+3y=31
    3x-y=30
    If (x , y) is the solution to the system of equations above, what is the value of 100x+40y?

    2x+3y=31
    3x-y=30
    If (x , y) is the solution to the system of equations above, what is the value of 100x+40y?

    Maths-SAT
    SAT
    Maths-

    fraction numerator 11 x minus 33 over denominator x minus 3 end fraction equals x
    What is the solution to the equation above?

    fraction numerator 11 x minus 33 over denominator x minus 3 end fraction equals x
    What is the solution to the equation above?

    Maths-SAT
    parallel
    SAT
    Maths-

    x + x = 9
    What value of x satisfies the equation given?

    x + x = 9
    What value of x satisfies the equation given?

    Maths-SAT
    SAT
    Maths-

    Which of the following is equivalent to fourth root of x squared plus 8 x plus 16 end root , where x>0?

    Which of the following is equivalent to fourth root of x squared plus 8 x plus 16 end root , where x>0?

    Maths-SAT
    SAT
    Maths-


    Triangle FGH is inscribed in the circle above. If arc stack F G with overparenthesis on top is congruent to arc stack G H with overparenthesis on top , and the measure of angle G is 30°, what is the measure of angle H ?


    Triangle FGH is inscribed in the circle above. If arc stack F G with overparenthesis on top is congruent to arc stack G H with overparenthesis on top , and the measure of angle G is 30°, what is the measure of angle H ?

    Maths-SAT
    parallel
    SAT
    Maths-


    Which of the following could be an equation for the graph shown in the x y-plane above?


    Which of the following could be an equation for the graph shown in the x y-plane above?

    Maths-SAT
    SAT
    Maths-


    Which of the following could be an equation for the graph shown in the x y-plane above?


    Which of the following could be an equation for the graph shown in the x y-plane above?

    Maths-SAT
    SAT
    Maths-

    An oceanographer uses the equation s equals 3 over 2 p to model the speed s, in knots, of an ocean wave, where p represents the period of the wave, in seconds. Which of the following represents the period of the wave in terms of the speed of the wave?

    An oceanographer uses the equation s equals 3 over 2 p to model the speed s, in knots, of an ocean wave, where p represents the period of the wave, in seconds. Which of the following represents the period of the wave in terms of the speed of the wave?

    Maths-SAT
    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.