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. *

The function is

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:

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 .

For each cellphone he sells, he earns $40, so

The function is:

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

This is y when . So

When he sold 30 cellphones, he earned $1550.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

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