Question

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.

Answer 1

Answer:

a) linear model is $y= 800+(0.15)x$

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.

∴ $y= fixed\ salary+ Tips\ on\ meals\ served$

$y= 800+ (\frac{15}{100}) \times x$     (∵ Tip is 15%)

∴ $y= 800+(0.15)x$

Hence, the linear model for the total earning of samantha is $y= 800+(0.15)x$.

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.

$y= \ 800+ (0.15)\times \ 1000$

⇒$y= \ 800+\ 150$

∴ y= $950

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