Mo is selling key chains as a fundraiser. If their goal is to raise at least $135, how many key chains must they
sell at $1.50 each to meet that goal?
● Write the story as an inequality.
● Solve the inequality, showing all steps.
● When this inequality is graphed will the limit be an open or closed circle?
● When this inequality is graphed will the line have an arrow pointing to the right or to the left?
Let x be the number of key chains Mo must sell.
The story as an inequality:
1.50x ≥ 135
Solving the inequality:
Divide both sides of the inequality by 1.50 to isolate x:
x ≥ 135/1.50
x ≥ 90
Therefore, Mo must sell at least 90 key chains to meet the goal.
When this inequality is graphed, the limit will be a closed circle since x can be equal to 90.
When this inequality is graphed, the line will have an arrow pointing to the right since x must be greater than or equal to 90.
To write the story as an inequality, let's define the number of key chains Mo must sell as 'x'.
The amount raised from selling 'x' key chains can be expressed as the product of the unit price ($1.50) and the number of key chains sold (x), which must be at least $135.
The inequality representing this situation is:
1.50x ≥ 135
To solve this inequality and find the value of 'x', we can divide both sides of the inequality by 1.50:
x ≥ 135 / 1.50
Simplifying this equation gives us:
x ≥ 90
So Mo must sell at least 90 key chains to meet their goal of raising $135 or more.
When this inequality is graphed, the limit will be represented by a closed circle, because x can equal 90. This is because selling exactly 90 key chains would meet the goal of raising $135.
The arrow on the graph will point to the right, indicating that any value of x greater than or equal to 90 will satisfy the inequality.
To solve this problem, let's write the story as an inequality:
Let x be the number of key chains that Mo must sell.
The total amount of money raised (y) is equal to the number of key chains (x) multiplied by the price per key chain ($1.50):
y = 1.50x
The goal is to raise at least $135, so the inequality can be written as:
1.50x ≥ 135
Now, let's solve this inequality step by step:
Divide both sides of the inequality by 1.50 to isolate x:
x ≥ 135 / 1.50
Simplifying the right side:
x ≥ 90
Therefore, Mo must sell at least 90 key chains to meet the fundraising goal of at least $135.
Now, let's interpret the inequality graphically:
When we graph this inequality, the limit point on the number line will be a closed circle because the inequality includes "greater than or equal to" (≥), indicating that the value can be the limit itself.
The line on the graph will have an arrow pointing to the right because the inequality includes "greater than or equal to" (≥), indicating that the values greater or equal to the limit are valid solutions.