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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.

Respuesta :

calculista

Answer:

Part a) The linear model is [tex]y=1,400+0.15x[/tex]

Part b) The amount earned is [tex]y=\$2,300[/tex]

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

[tex]y=1,400+0.15x[/tex]

This is a linear equation in slope intercept form

[tex]y=mx+b[/tex]

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

[tex]m=0.15[/tex]

The y-intercept or b is equal to

[tex]b=1,400[/tex]

For x=6,000

substitute in the linear equation

[tex]y=1,400+0.15(6,000)[/tex]

[tex]y=\$2,300[/tex]

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