Question

1. the graph represents the temperature, in degrees fahrenheit, as a function ( f(m) ) where ( m ) is the time in minutes after the tea was poured.

a) based on the graph, what was the temperature of the tea when it was first poured into the cup?
b) for approximately which value of ( m ) is ( f(m) = 119 ). explain what the estimate means in terms of the problem.
2 points (f.if.b.4)

Explanation:

Part (a)

Step1: Identify the initial time

When the tea is first poured, the time \( m = 0 \) minutes.

Step2: Find the temperature at \( m = 0 \)

Looking at the graph, when \( m = 0 \), the temperature \( f(0) \) corresponds to the y - value at \( x = 0 \). From the graph, at \( m = 0 \), the temperature is 204 degrees Fahrenheit.

Step1: Locate \( f(m)=119 \) on the y - axis

Find the value 119 on the temperature (y - axis) of the graph.

Step2: Find the corresponding \( m \) - value

Trace horizontally from \( y = 119 \) until we hit the graph, then trace down to the x - axis (time in minutes). From the graph, we can see that the corresponding \( m \) - value is approximately 18 minutes.

Step3: Interpret the meaning

The value \( m\approx18 \) minutes means that 18 minutes after the tea was poured, the temperature of the tea is 119 degrees Fahrenheit.

Answer:

204 degrees Fahrenheit

Part (b)