Question

a catering company uses different functions to estimate the itemized costs for a party. the table below represents the included tip for wait staff as a function of the number of guests served. catering cost for wait staff gratuity number of guests wait staff tip 10 $18 20 $36 30 $54 40 $72 50 $90 if the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the number of guests, g? t = 1.8g t = g/1.8 g = 1.8t g = t/18

Explanation:

Step1: Recall direct variation formula

Direct variation follows $t = kg$, where $k$ is the constant of proportionality.

Step2: Calculate constant $k$

Use the first table row: $g=10$, $t=18$.
$k = \frac{t}{g} = \frac{18}{10} = 1.8$

Step3: Substitute $k$ into variation formula

Substitute $k=1.8$ into $t=kg$.

Answer:

A. $t = 1.8g$