Question

Interpreting Linear Relationships Practice
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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

Answer 1

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**.