Question

a restaurants average food preparation time was tracked from day to day as part of an efficiency improvement program.
according to the table, what was the rate of change between sunday and monday?
minutes per day

Explanation:

Step1: Recall the formula for rate of change

The formula for rate of change is $\frac{\text{Change in value}}{\text{Change in time}}$. Here, the change in value is the change in food - preparation time, and the change in time is the number of days between Sunday and Monday.

Step2: Identify the values

The food - preparation time on Sunday is $37$ minutes and on Monday is $34$ minutes. The change in time $\Delta t=1$ day (from Sunday to Monday). The change in food - preparation time $\Delta y = 34 - 37=-3$ minutes.

Step3: Calculate the rate of change

Using the formula $\text{Rate of change}=\frac{\Delta y}{\Delta t}$, we substitute $\Delta y=-3$ and $\Delta t = 1$. So, the rate of change is $\frac{-3}{1}=-3$ minutes per day.

Answer:

$-3$ minutes per day