Question

a vendor who sold bread at farmers markets counted the number of leftover loaves at the end of each day. loaves of leftover bread according to the graph, when was the rate of change greater? between monday and thursday between tuesday and wednesday

Explanation:

To determine when the rate of change is greater, we calculate the rate of change (slope) for each interval. The rate of change is calculated as $\frac{\text{Change in Leftover Loaves}}{\text{Change in Days}}$.

Step 1: Calculate the rate of change between Monday and Thursday

• Leftover loaves on Monday: $46$
• Leftover loaves on Thursday: $64$
• Change in days: $4 - 1 = 3$ days
• Change in leftover loaves: $64 - 46 = 18$
• Rate of change: $\frac{18}{3} = 6$ loaves per day

Step 2: Calculate the rate of change between Tuesday and Wednesday

• Leftover loaves on Tuesday: $48$
• Leftover loaves on Wednesday: $64$
• Change in days: $3 - 2 = 1$ day
• Change in leftover loaves: $64 - 48 = 16$
• Rate of change: $\frac{16}{1} = 16$ loaves per day

Since $16 > 6$, the rate of change is greater between Tuesday and Wednesday.

Answer:

between Tuesday and Wednesday