Samantha works as a waitress in a restaurant. she earns $800 per month as a base salary, plus tips averaging 15% of the meals she serves. write a linear model for the situation. then use it to find the amount earned if samantha serves meals worth a total of $1000.

a) linear model is

b) Amount earned by Samantha is $950.

Step-by-step explanation:

Given: Samantha base salary= $800

          She get tips averaging 15% of the meals she serves.

          Samantha serve meals worth a total of $1000.

Lets assume total worth of meal served by Samantha be "x".

And Total earning of samantha in a months be "y".

To calculate the total income of samantha, we need to add fixed income and variable income.

∴

    (∵ Tip is 15%)

∴

Hence, the linear model for the total earning of samantha is .

Now, finding the total amount earned by samantha.

As given, Samantha serves meals worth a total of $1000.

Subtituting the value of meals worth in the equation.

⇒

∴ y= $950

Hence, the total amount earned by Samantha is $950.

step-by-step explanation:

in which figure is point g a centroid