Question

isaac kept track of how long it took to finish his homework each day. time isaac spent on homework day minutes sunday 54 monday 66 tuesday 54 wednesday 43 thursday 86 according to the table, what was the rate of change between sunday and monday? minutes per day

Explanation:

Step1: Recall the rate of change formula

The rate of change formula is $\frac{\text{Change in value}}{\text{Change in time}}$. Here, the value is minutes of homework time, and time is days.

Step2: Identify the values

On Sunday ($x_1 = 0$ day, $y_1=54$ minutes), on Monday ($x_2 = 1$ day, $y_2 = 66$ minutes).
The change in value ($\Delta y=y_2 - y_1$) is $66-54 = 12$ minutes.
The change in time ($\Delta x=x_2 - x_1$) is $1-0=1$ day.

Step3: Calculate the rate of change

Using the formula $\text{Rate of change}=\frac{\Delta y}{\Delta x}$, we substitute $\Delta y = 12$ and $\Delta x=1$. So, $\text{Rate of change}=\frac{12}{1}=12$.

Answer:

12