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A sugar solution currently measures 250 degrees Fahrenheit. The temperature of the solution increases 5 degrees per minute. The sugar solution will caramelize at temperatures greater than 310 and less than 338 degrees Fahrenheit. Which inequality can be used to find x, the number of minutes it will take for the solution to begin caramelizing?

310 < 250 + 5x < 338
310 < 250 + 5x < 338
310 < 5(x + 250) < 338
310 < 5(x + 250) < 338

Sagot :

Iwillbombyourcountryidn

Answer:

The correct inequality that can be used to find x, the number of minutes it will take for the solution to begin caramelizing, is:

B) 310 < 250 + 5x < 338

Step-by-step explanation:

- The initial temperature of the sugar solution is 250 degrees Fahrenheit.

- The temperature of the solution increases by 5 degrees per minute.

- The caramelization temperature range is greater than 310 and less than 338 degrees Fahrenheit.

To find the time x when the solution will begin caramelizing, we need to consider the following:

- The temperature of the solution at any time x will be 250 (initial temperature) plus 5x (increase of 5 degrees per minute).

- The solution starts caramelizing when its temperature is above 310 but below 338 degrees.

Therefore, the correct inequality is 310 < 250 + 5x < 338, which is represented by option B.

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