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the temperature is 50 f. the temperature will decrease by 4 f each hour let h be the number of hours when will the temperature be below 32 f.

User Fancy
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1 Answer

2 votes

Answer:

After 5 hours.

Explanation:

To find out when the temperature will be below 32°F, you can set up an inequality based on the given information. The temperature starts at 50°F and decreases by 4°F each hour. You want to know when it will be below 32°F, so you can write:

Temperature < 32°F

Now, let "h" be the number of hours, and since the temperature decreases by 4°F per hour, you can write:

Temperature = 50°F - 4°F * h

Now, substitute this expression into the inequality:

50°F - 4°F * h < 32°F

Next, solve for "h":

-4°F * h < 32°F - 50°F

-4°F * h < -18°F

Now, divide both sides by -4°F, remembering to reverse the inequality since you're dividing by a negative number:

h > (-18°F) / (-4°F)

h > 4.5

Since the number of hours, "h," represents a whole number of hours, we need to round up to the nearest whole number because it cannot be a fraction of an hour.

So, it will take more than 4.5 hours for the temperature to be below 32°F. Therefore, it will be below 32°F after 5 hours.

User Arton Dorneles
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