Questions: Stacee earns 70 per day plus a 4 commission for each sale that she makes. If she earns 150 in a day, determine how many sales she made by solving for x in the following equation: 4x+70=150 20 sales 30 sales 55 sales 12 sales

Stacee earns 70 per day plus a 4 commission for each sale that she makes.

If she earns 150 in a day, determine how many sales she made by solving for x in the following equation:
4x+70=150
20 sales
30 sales
55 sales
12 sales

Transcript text: Stacee earns $\$ 70$ per day plus a $\$ 4$ commission for each sale that she makes. If she earns $\$ 150$ in a day, determine how many sales she made by solving for $x$ in the following equation: \[ 4 x+70=150 \] 20 sales 30 sales 55 sales 12 sales

Solution

Solution Steps

To determine how many sales Stacee made, we need to solve the equation $4x + 70 = 150$ for $x$. This involves isolating $x$ by first subtracting 70 from both sides of the equation and then dividing the result by 4.

Step 1: Set Up the Equation

Stacee's earnings can be represented by the equation $4x + 70 = 150$, where $x$ is the number of sales she made. We need to solve this equation for $x$.

Step 2: Isolate the Variable

Subtract 70 from both sides of the equation to isolate the term with $x$: \[ 4x + 70 - 70 = 150 - 70 \] \[ 4x = 80 \]

Step 3: Solve for $x$

Divide both sides by 4 to solve for $x$: \[ x = \frac{80}{4} \] \[ x = 20 \]