Johnny makes wooden benches to sell. his advertising costs are $150 per month and each bench costs him $100 to make. if he sells each bench for $175, how many benches must he sell to break even each month?

2 benches

Step-by-step explanation:

Selling Price per bench = $175

Cost per bench = $100

profit per bench = $175 - $100 = $75

assuming that he sell x benches a month,

profit in 1 month = $75x

given that his advertising costs are $150 per month, in order to break even, his profit must be equal to his advertising profit.

i.e

$75x = $150

x = 150/75

x = 2

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.