Question

question after driving for 2 hours, juan is 110 miles from his home. after driving 5 hours, he is 275 miles from his home. what is his average rate of change? (do not include units in your answer. for example, if your answer is 100 miles per hour, only write 100.) provide your answer below:

Explanation:

Step1: Identify the two - point data

Let $(x_1,y_1)=(2,110)$ and $(x_2,y_2)=(5,275)$.

Step2: Use the slope formula

The average rate of change formula (which is the slope formula) is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute the values: $m=\frac{275 - 110}{5 - 2}$.

Step3: Calculate the numerator and denominator

$275−110 = 165$ and $5 - 2=3$.

Step4: Calculate the average rate of change

$m=\frac{165}{3}=55$.

Answer:

55