Question

n. a manager at a venue sets up 15 large tables and x small tables to seat guests for a particular event. large tables seat 6 guests each, and the small tables seat 4 guests each. if every table set up for the event is full, and $f(x)=90 + 4x$ represents the total number of guests seated at the venue, which statement is true?
a. the value of f(16) is 110, and it represents only the number of guests seated at 16 small tables.
b. the value of f(16) is 110, and it represents the total number of guests seated at the venue with 16 small tables set up.
c. the value of f(16) is 154, and it represents only the number of guests seated at 16 small tables.
d. the value of f(16) is 154, and it represents the total number of guests seated at the venue with 16 small tables set up.

Explanation:

Step1: Substitute x=16 into function

$f(16) = 90 + 4\times16$

Step2: Calculate the value

$f(16) = 90 + 64 = 154$

Step3: Interpret the result

The value represents total guests with 16 small tables.

Answer:

D. The value of f(16) is 154, and it represents the total number of guests seated at the venue with 16 small tables set up.