Question

Can someone help me with this 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.

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?

A. t = 1.8g
B. t = g/18
C. g = 1.8t
D. g = t/18

Answer 1

Here is the graph to go with it.

Answer 2

Itachi here

Answer 3

hi @TheGoddess

so when we say y varies directly with x, then it's written as
y = kx

so in your question, we're saying that tips (or t) varies directly with guests (or g)

Answer 4

next we need to figure out what the value of `k` is

the easiest way to do that is by looking at your graph

it says when there's 10 guests, the wait staff get a tip of 180

so plug in the numbers when g = 10 and t = 180, what is the value of k?