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pochemuha
3 years ago
10

Harry reads equal numbers of pages of a book every week. The graph shows the number of pages of the book left to read, y, after

x weeks: A graph titled Harry’s Book Reading shows Number of Weeks on the x-axis and Number of Pages Left on the y-axis. The scale on the x-axis shows numbers from 0 to 6 at increments of 1, and the scale on the y-axis shows numbers from 0 to 385 at increments of 55. A straight line joins the ordered pairs 0, 275 and 1, 220 and 2, 165 and 3, 110 and 4, 55 and 5, 0. Which equation best models the relationship between x and y? y = −5x + 55 y = −55x + 385 y = −5x + 275 y = −55x + 275
Mathematics
1 answer:
horsena [70]3 years ago
5 0

Answer:

  • y=-55x+275

Explanation:

The given points are:

  • (0, 275)
  • (1, 220)
  • (2, 165)
  • (3, 110)
  • (4,55)
  • (5, 0)

Since a <em>straight line joins</em> all the points, the equation that models the <em>relationship</em> is linear and you can find the slope-intercept equation which has the general form:

             y=mx+b

Where:

             m  is the slope

             b  is the y-intercept

<u>1. Find the slope</u>

You can use any two ordered pairs.

  • m = rise/run = Δy/Δx = [220 - 275] /[1 - 0] = - 55

<u>2. Find the y-intercept</u>

The y-intercept is the value of y when x = 0; thus it is 275.

  • b = 275

<u>3. Substitute in the slope-intercept equation</u>

  • y=-55x+275

That is the last option.

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