Question

Sam works as a waiter in a restaurant. He earns $1,400 per month as a base salary, plus tips averaging 15% of the meals he serves. Write a linear model for the situation, and use it to find the amount earned if Sam serves meals worth a total of $6,000.

Answer 1

Answer:

Part a) The linear model is $y=1,400+0.15x$

Part b) The amount earned is $y=\ 2,300$

Step-by-step explanation:

Let

x ----> total meals worth served by Sam in a month

y ----> total earned by Sam in a month

we know that

The total earned by Sam in a month is equal to the base salary plus the  total meals worth served by Sam in a month multiplied by the tips averaging in decimal form

Tips average =15%=15/100=0.15

so

$y=1,400+0.15x$

This is a linear equation in slope intercept form

$y=mx+b$

where

m is the slope or the unit rate

b is the y-intercept or initial value

The slope of unit rate is equal to

$m=0.15$

The y-intercept or b is equal to

$b=1,400$

For x=6,000

substitute in the linear equation

$y=1,400+0.15(6,000)$

$y=\ 2,300$