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Truman is buying a teddy bear and flowers for his girIfriend. Flowers Galore charges $13 for the teddy bear and $0.75 per flower. Famous Florist charges $9 for the teddy bear and $1.25 per flower. Which inequality represents the number of flowers, f, Truman would need to buy to make Flowers Galore the cheaper option?

User Timkg
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2 Answers

6 votes

Final answer:

Truman would need to buy more than 8 flowers to make Flowers Galore the cheaper option.

Step-by-step explanation:

To determine the number of flowers, f, Truman would need to buy to make Flowers Galore the cheaper option, we need to compare the total cost between Flowers Galore and Famous Florist.

Flowers Galore charges $13 for the teddy bear and $0.75 per flower, while Famous Florist charges $9 for the teddy bear and $1.25 per flower.

Let's assume Truman buys x flowers:

For Flowers Galore, the total cost would be $13 + $0.75x.

For Famous Florist, the total cost would be $9 + $1.25x.

To find the threshold number of flowers where Flowers Galore is cheaper, we need to compare the two costs:

$13 + $0.75x < $9 + $1.25x

Now, we can solve for x:

$13 - $9 < $1.25x - $0.75x

$4 < $0.50x

Dividing both sides of the inequality by $0.50:

$8 < x

Therefore, Truman would need to buy more than 8 flowers to make Flowers Galore the cheaper option.

User Danroose
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4.3k points
6 votes
the answers is either f < 2 or f > 2
User Arturtr
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