Ask Question
1 February, 09:24

After 5 showings of a movie, a theater had earned a profit of $2,000. After 7 showings, the profit was $3,000. Assuming a linear function, write an equation in the form y=mx+b that shows the profit earned from showing the movie.

+1
Answers (1)
  1. 1 February, 09:46
    0
    Step-by-step explanation:

    Let x represent the number of showings of a movie.

    Let y represent the amount earned from x showings.

    The equation of a straight line can be represented in the slope-intercept form, y = mx + c

    Where c = intercept

    Slope, m = change in value of y on the vertical axis / change in value of x on the horizontal axis

    change in the value of y = y2 - y1

    Change in value of x = x2 - x1

    y2 = final value of y

    y 1 = initial value of y

    x2 = final value of x

    x1 = initial value of x

    From the information given,

    y2 = 3000

    y1 = 2000

    x2 = 7

    x1 = 5

    Slope, m = (3000 - 2000) / (7 - 5) = 1000/2 = 500

    To determine the intercept, we would substitute x = 5, y = 2000 and m = 500 into y = mx + c. It becomes

    2000 = 500 * 5 + c = 2500 + c

    c = 2000 - 2500 = - 500

    The equation becomes

    y = 500x - 500
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “After 5 showings of a movie, a theater had earned a profit of $2,000. After 7 showings, the profit was $3,000. Assuming a linear function, ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers