tomas works for a cellphone company. he has a base salary of $350 each month and earns an additional $40 for each cellphone he sells. write a function (linear equation) in slope-intercept form (y = mx + b) that represents tomas' total earnings (y) for one month for selling (x) number of cellphones.

Use the linear equation from question 1 to determine Tomas' earnings for a month where he sold 30 cellphones. *

Respuesta :

Answer:

The function is [tex]y = 40x + 350[/tex]

When he sold 30 cellphones, he earned $1550.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

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

In which m is the slope(how much y changes when x changes by 1), and b is the y-intercept, that is, the value of w when x = 0.

Base salary of $350 each month and earns an additional $40 for each cellphone he sells.

If he sells 0 cellphones, he earns $350, so [tex]b = 350[/tex].

For each cellphone he sells, he earns $40, so [tex]m = 40[/tex]

The function is:

[tex]y = mx + b = 40x + 350[/tex]

Tomas' earnings for a month where he sold 30 cellphones.

This is y when [tex]x = 30[/tex]. So

[tex]y = 40*30 + 350 = 1550[/tex]

When he sold 30 cellphones, he earned $1550.