Question

Consuela earns a salary of $40,000 per year plus a commission of $1,00 for each car she sells. Write and solve an equation that shows the number of cars Consuela must sell in order to make $60,000 in one year.

Answer 1

60000=40000+100x
20000=100x
x=200

Im thinking her commission should be 1000, not 100, and if so, your equation would be

60000=40000+1000
20000=1000x
x=20

Answer 2

y = $1,000/car x + $40,000

20 cars

Explanation:

Let

x = number of cars sold

y = total earnings

The relationship between y and x can be expressed through a linear equation.

y = mx + b

where,

m is the slope

b is the y-intercept

The slope is how much she earns per car sold, that is, the commission of $1,000/car (I think you meant this number instead of $1,00).

The y-intercept is what she earns even if she does not sell any car, i.e. a salary of $40,000.

The resulting equation is

y = $1,000/car x + $40,000

If she is to make $60,000 in one year (y = $60,000), the number of cars sold is:

$60,000 = $1,000/car x + $40,000

$20,000 = $1,000/car x

x = 20 car