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2 years ago

Twelve ounces of Brand X costs $1.50. Sixteen ounces of Brand Y cost $1.92. Find the unit price of each.

Mathematics

1 answer:

Nezavi [6.7K]2 years ago

8 0

Brand X is around 12-13 cents per ounce (12/1.50=.125) and Brand Y would be exactly 12 cents (16/1.92=12)

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The function f(x)=70n -400 models the profit of the instructor of a guitar class per month, where n is the number of students en

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Answer:

At least 6 students must be enrolled in the class for the instructor to make a profit.

At least 20 students must be enrolled in the class for the instructor to make $1,000 (or more) profit per month.

Step-by-step explanation:

The function $f(x)=70n -400$ models the profit of the instructor of a guitar class per month.

1. If the instructor makes a profit, then

$f(x)>0\\ \\70n-400>0\\ \\7n-40>0\\ \\7n>40\\ \\n>\dfrac{40}{7}\\ \\n>5\dfrac{5}{7}$

So, at least 6 students must be enrolled in the class for the instructor to make a profit.

2. If the instructor needs to make 1,000.00 profit per month, then

$f(x)\ge 1,000\\ \\70n-400\ge 1,000\\ \\7n-40\ge 100\\ \\7n\ge 140\\ \\n\ge \dfrac{140}{7}\\ \\n\ge 20$

So, at least 20 students must be enrolled in the class for the instructor to make $1,000 (or more) profit per month.

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3 years ago

Twelve ounces of Brand X costs $1.50. Sixteen ounces of Brand Y cost $1.92. Find the unit price of each.​

Twelve ounces of Brand X costs $1.50. Sixteen ounces of Brand Y cost $1.92. Find the unit price of each.