Question

a. for a part - time student, the cost of college tuition is a function of the number of hours for which the student is registered. write an equation to represent the tuition cost, c, if the cost per hour is $243 and h represents the number of hours taken for the current semester. c = 243h (type an equation.) b. use f(h) to represent the cost, and rewrite the equation in part a using function notation. the equation in part a is rewritten using function notation as f(h)=243h. c. complete the following table (simplify your answers ) h 2 4 7 8 11 f(h) 406 972 1701 1944 2673 d. evaluate f(3) and write a sentence describing its meaning. select the correct choice below and fill in the answer boxes to complete your choice (simplify your answers ) a. the function value f(3) is. the tuition cost for 3 hours of coursework is $. b. the function value f(3) is. the tuition cost for 3 days of coursework is $.

Explanation:

Step1: Recall function evaluation

To find $f(3)$, substitute $h = 3$ into $f(h)=243h$.

Step2: Calculate the value

$f(3)=243\times3 = 729$. The function $f(h)$ represents the tuition - cost as a function of the number of hours $h$. So $f(3)$ is the tuition cost for 3 hours of coursework.

Answer:

A. The function value $f(3)$ is $729$. The tuition cost for 3 hours of coursework is $\$729$.