1. **Problem statement:** Lise has 24 carrots and eats 2 carrots each day. We want to find the relationship between the number of days $x$ and the number of carrots $f(x)$ left in the bag. 2. **Filling the table:** - At day $x=0$, the number of carrots is $f(0)=24$. - Each day, 2 carrots are eaten, so the number decreases by 2 for each increase in $x$. | $x$ | 0 | 1 | 2 | 3 | 4 | 5 | |-----|---|---|---|---|---|---| | $f(x)$ | 24 | 22 | 20 | 18 | 16 | 14 | 3. **Function formula:** The function is linear and decreases by 2 each day: $$f(x) = 24 - 2x$$ 4. **Explanation:** - The initial amount is 24 carrots. - Each day, 2 carrots are subtracted. - So for $x$ days, the total subtracted is $2x$. - Subtracting this from 24 gives the remaining carrots. 5. **Graph description:** - The graph is a straight line starting at $(0,24)$. - It decreases by 2 units vertically for each 1 unit increase horizontally. - Points like $(1,22)$, $(2,20)$ lie on the line. **Final answer:** $$f(x) = 24 - 2x$$