Question

temperature the graph shows the temperature in a city during different hours of one day. a. find the rate of change in temperature between 6 a.m. and 7 a.m. and describe its meaning in the co

Explanation:

Step1: Identify points

At 6 A.M., temperature is 50°F. Assume at 7 A.M. (mid - point between 6 A.M. and 8 A.M.), if we consider linear interpolation, and since at 8 A.M. it is 60°F, we can estimate the temperature at 7 A.M. as 55°F.

Step2: Calculate rate of change

The rate of change formula is $\frac{\text{Change in }y}{\text{Change in }x}$. Here, $y$ is temperature and $x$ is time. Change in temperature $\Delta y=55 - 50 = 5$°F, change in time $\Delta x = 1$ hour. So rate of change $=\frac{5}{1}=5$ °F per hour.

Answer:

The rate of change in temperature between 6 A.M. and 7 A.M. is 5 °F per hour. This means that, on average, the temperature increased by 5 degrees Fahrenheit each hour during this time - interval.