Respuesta :
Answer:
a) linear model is [tex]y= 800+(0.15)x[/tex]
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.
∴ [tex]y= fixed\ salary+ Tips\ on\ meals\ served[/tex]
[tex]y= 800+ (\frac{15}{100}) \times x[/tex] (∵ Tip is 15%)
∴ [tex]y= 800+(0.15)x[/tex]
Hence, the linear model for the total earning of samantha is [tex]y= 800+(0.15)x[/tex].
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.
[tex]y= \$ 800+ (0.15)\times \$ 1000[/tex]
⇒[tex]y= \$ 800+\$ 150[/tex]
∴ y= $950
Hence, the total amount earned by Samantha is $950.
