I need help ASAP.
Liam has a summer job mowing lawns and shoveling. He earns $12 per hour mowing lawns and $18 per hour shoveling. Liam would like to earn at least $500 this summer. Write an inequality to model this situation.
Answers
The inequality is 12x + 18y ≥ 500 and , where x is the number of hours mowing lawns and y is the number of hours shoveling field
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the number of hours mowing lawns be x
Let the number of hours shoveling field be y
And , the amount earned per hour for mowing lawns = $ 12
So , for x hours , the amount earned = 12x
The amount earned per hour for shoveling = $ 18
And , for y hours , the amount earned = 18y
The minimum amount Liam should earn = $ 500
And , the inequality is
12x + 18y ≥ 500
Therefore , the value of A is 12x + 18y ≥ 500
Hence , the inequality equation is 12x + 18y ≥ 500
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