Question

a. use function notation to represent “the student has english at 10:00.”

b. write a statement to describe the meaning of c(11:15) = chemistry.

3 function f gives the distance of a dog from a post, in feet, as a function of time, in seconds, since its owner left.
find the value of f(20) and of f(140).

Explanation:

Step1: Define function for part a

Let \(S(t)\) be the subject - time function.

Step2: Interpret function for part b

Understand \(C(t)\) gives subject at time \(t\).

Step3: Find \(f(20)\)

Locate \(t = 20\) on x - axis of graph.

Step4: Determine \(f(20)\) value

Read y - value at \(t = 20\) as \(3\).

Step5: Find \(f(140)\)

Locate \(t = 140\) on x - axis of graph.

Step6: Determine \(f(140)\) value

Read y - value at \(t = 140\) as \(4\).

Answer:

a. Let \(S(t)\) represent the subject the student has at time \(t\). Then \(S(10:00)=\text{English}\)
b. The function \(C(t)\) gives the subject at time \(t\). The statement \(C(11:15)=\text{Chemistry}\) means that at 11:15, the subject being studied is Chemistry.
c. To find \(f(20)\):

• Locate \(t = 20\) on the x - axis of the graph.
• The corresponding y - value on the graph at \(t=20\) is approximately \(3\) feet. So \(f(20)=3\)

To find \(f(140)\):

• Locate \(t = 140\) on the x - axis of the graph.
• The corresponding y - value on the graph at \(t = 140\) is approximately \(4\) feet. So \(f(140)=4\)