Maths-
General
Easy

Question

A cable company recorded the percentage of households in the United States that had cable television from 1987 to 1997. In the scatterplot below, x represents the number of years since 1987 and y represents the percentage of households with cable television. The line of best fit for the data is shown.

Which of the following is closest to the equation of the line of best fit shown?

  1. straight y space equals space 54 straight x space plus space 7 over 5
  2. straight y space equals space 7 over 5 straight x space minus space 54
  3. straight y space equals space 7 over 5 straight x space plus space 54
  4. straight y space equals space 7 over 5 straight x

The correct answer is: straight y space equals space 7 over 5 straight x space plus space 54


    HINT: Observe the given graph and then find the equation of the line.
    Complete step by step solution:
    From the graph, it is clear that the y coordinate is 54 when x = 0.Hence y intercept is 54.
    We know that equation of line is y = mx + b, where m is the slope and b is the y intercept.
    We can find the equation of line by eliminating the options.
    In option A, y intercept is 7 over 5. Hence option A can be eliminated.
    In option B, y intercept is -54. Hence option B can be eliminated.
    In option C, y intercept is 54. Hence option C is correct .
    In option D, y intercept is 0. Hence option D can be eliminated.
    So, equation of line is y = 7 over 5 x + 54.
    Hence option C is the correct answer

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