Question

The average monthly temperature of the water in a mountain stream is modeled by the function, where T(x) is the temperature of the water in °F in month x (x = 1 → January).

Question 1
Solve algebraically to find which two months are most likely to give a temperature reading of 62°F.
Part 2
Solve graphically to find in which months of the year the temperature is below 50°F.

Answer 1

To find the two months where the temperature reading is most likely to be 62°F, we can solve the equation T(x) = 62 algebraically. To find the months where the temperature is below 50°F, we can plot the graph of T(x) and read off the x-values where the graph is below 50°F.

Step-by-step explanation:

To solve the first part algebraically, we need to find the values of x where T(x) = 62°F. We can set up the equation T(x) = 62 and solve for x. This will give us the two months where the temperature reading is most likely to be 62°F.

To solve the second part graphically, we need to plot the graph of T(x) and find the months where the temperature is below 50°F. We can then read off the x-values where the graph is below 50°F.