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.
A table showing Catering Cost for Wait Staff Gratuity with two columns and 6 rows. The first column has, Number of Guests, and has the entries, 10, 20, 30, 40, 50. The second column, Wait Staff Tip, has the entries, $18, $36, $54, $72, $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 = t equals StartFraction g Over 18 EndFraction.
g = 1.8t
g = g equals StartFraction t Over 18 EndFraction.

Answer 1

Answer: t = 1.8g

Step-by-step explanation:

Since we are given the information that the tip varies directly with the number of guests, then the formula to use will be:

t = kg

where,

t = wait staff tip

g = number of guests

Therefore, when the number of guests is 10 and the tip is $18, the constant of proportionality will be:

t = kg

18 = 10k

k = 18/10

k = 1.8

Therefore, t = 1.8g