Ask a New Question
Menu

Interpreting Linear Relationships Practice

Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items

Question
Use the image to answer the question.

A graph shows a horizontal axis representing time in days ranging from 0 to 10 in increments of 1. The vertical axis represents cookies in a jar ranging from 0 to 10 in increments of 1. Two plotted points are: left parenthesis 1 comma 6 right parenthesis, left parenthesis 2 comma 5 right parenthesis. These points are joined by a straight line with arrows on both the ends; the straight line continues beyond the two points until it intercepts the horizontal axis and the vertical axis.

Interpret the y
-intercept and slope in the context of this situation. For the slope, give the most simplified rate using whole numbers.

(2 points)
The y
-intercept is
cookie(s). The slope is
cookie(s) every
day(s).
Remaining Attempts : 3

1 answer

To interpret the y-intercept and slope from the given graph, let’s analyze the provided points and context:

  1. Points Provided:

    • (1, 6): This means that on day 1, there are 6 cookies in the jar.
    • (2, 5): This means that on day 2, there are 5 cookies in the jar.

  2. Understanding the y-intercept: The y-intercept occurs when the number of days (x) is 0. To find the y-intercept using the points, we can observe the pattern.

    • From the first point (1, 6) to the second point (2, 5), there is a decrease of 1 cookie as time increases by 1 day.
    • Continuing this pattern back to day 0, we go back one more day before day 1:
      • Day 1: 6 cookies
      • Day 0: 7 cookies (inferred by increasing the cookies back for one more day).

    Therefore, the y-intercept is 7 cookies.

  3. Calculating the Slope: The slope can be calculated using the change in cookies over the change in time between the two points:

    • From (1, 6) to (2, 5) is a change of (-1 cookie) over (1 day).
    • Therefore, the slope (rate of change) is -1 cookie per day.

  4. Conclusion:

    • The y-intercept is 7 cookie(s).
    • The slope is -1 cookie(s) every 1 day.

Fill in the blanks:

  • The y-intercept is 7 cookies.
  • The slope is -1 cookie(s) every 1 day.