Questions: The bar graph shows the average temperature for a certain city, in degrees Fahrenheit, for seven selected years. Year The data can be modeled by the linear function f(x)=0.015 x+56.45 where f(x) is the average temperature, in degrees Fahrenheit, x years after 1900. The graph of f is shown to the right. Complete parts (a) through (b). a. Find and interpret f(60). Use the equation for f(x) to identify this information as a point on the graph. The point is . (Type an ordered pair.)

The bar graph shows the average temperature for a certain city, in degrees Fahrenheit, for seven selected years. Year The data can be modeled by the linear function f(x)=0.015 x+56.45 where f(x) is the average temperature, in degrees Fahrenheit, x years after 1900. The graph of f is shown to the right. Complete parts (a) through (b). a. Find and interpret f(60). Use the equation for f(x) to identify this information as a point on the graph.

The point is . (Type an ordered pair.)

Transcript text: The bar graph shows the average temperature for a certain city, in degrees Fahrenheit, for seven selected years. Year The data can be modeled by the linear function $f(x)=0.015 x+56.45$ where $f(x)$ is the average temperature, in degrees Fahrenheit, $x$ years after 1900. The graph of $f$ is shown to the right. Complete parts (a) through (b). a. Find and interpret $f(60)$. Use the equation for $f(x)$ to identify this information as a point on the graph. The point is $\square$ . (Type an ordered pair.)

Solution

Solution Steps

Step 1: Identify the given function

The given linear function is: \[ f(x) = 0.015x + 56.45 \] where $ f(x) $ is the average temperature in degrees Fahrenheit, and $ x $ is the number of years after 1900.

Step 2: Substitute $ x = 60 $ into the function

To find $ f(60) $, substitute $ x = 60 $ into the function: \[ f(60) = 0.015(60) + 56.45 \]

Step 3: Calculate the value of $ f(60) $

Perform the calculation: \[ f(60) = 0.015 \times 60 + 56.45 \] \[ f(60) = 0.9 + 56.45 \] \[ f(60) = 57.35 \]

Step 4: Interpret the result as a point on the graph

The point on the graph corresponding to $ x = 60 $ and $ f(60) = 57.35 $ is: \[ (60, 57.35) \]