Create an inequality for this problem and solve.
Devon works in a sporting goods store. She makes $1250 a week plus 16% commission on everything she sells. What is the minimum she would have to sell in order to make at least $4000 in a week.
This is my equation but I don’t think it’s correct 1250+0.16x<4000
it looks good , but the inequality is in the wrong direction
1250 + 0.16 x >/= 4000 She would like to make MORE, not less :)
0.16 x >/= 2750
x >/= 17,187.50
Your equation is on the right track! Let's break it down step by step.
Devon makes a fixed amount every week ($1250) and an additional 16% commission on everything she sells. To find the minimum amount she would have to sell in order to make at least $4000 in a week, we can set up the following equation:
1250 + 0.16x >= 4000
Here's how to solve it:
Step 1: Subtract 1250 from both sides of the equation:
0.16x >= 4000 - 1250
0.16x >= 2750
Step 2: Divide both sides of the equation by 0.16 to isolate the variable x:
x >= 2750 / 0.16
x >= 17187.5
To make at least $4000 in a week, Devon would need to sell at least $17,187.5 worth of goods.