meg plays the clarinet in her schools band, and shes preparing for an upcoming concert. this table shows how…
meg plays the clarinet in her schools band, and shes preparing for an upcoming concert. this table shows how much time she spent practicing after school each day last week. day practice time (hours) 1 0.5 2 2 3 2 4 2.5 5 3 complete the sentence to describe the average rate of change shown in the table. megs practice time by about hours per day last week.
Answer
Explanation:
Step1: Recall average - rate - of - change formula
The average rate of change formula is $\frac{\Delta y}{\Delta x}=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x$ represents the day number and $y$ represents the practice time. We can take the first and the last data - points: $(x_1,y_1)=(1,0.5)$ and $(x_2,y_2)=(5,3)$.
Step2: Calculate the change in $y$ and $x$
$\Delta y=y_2 - y_1=3 - 0.5 = 2.5$ and $\Delta x=x_2 - x_1=5 - 1=4$.
Step3: Calculate the average rate of change
The average rate of change is $\frac{\Delta y}{\Delta x}=\frac{3 - 0.5}{5 - 1}=\frac{2.5}{4}=0.625$.
Answer:
Meg's practice time increased by about $0.625$ hours per day last week.