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Vsevolod [243]
2 years ago
8

The temperature is 60°F. The temperature will decrease by 3°F each hours. Let h be the number of hours. When will the temperatur

e be below 32° F? Write an inequality for this problem.
Mathematics
1 answer:
lisabon 2012 [21]2 years ago
7 0

Answer:

For the temperature to be below 32 F, following inequality must be met,

h\geq 9.333

Step-by-step explanation:

Let "t" be the temperature at any time.

General format of a linear equation can be given as,

y= mx + c

Where,

y ⇒ dependent variable ( in this case temperature t)

m⇒ Gradient ( the rate at which the temperature drops)

x⇒ independent variable ( hours )

c⇒ intercept ( this is the starting temperature)

Now we can substitute the given values to the above format to arrive at the equation,

t=-3h+60

We can re-arrange the equations as ,

3h=60-t

=h=20-\frac{t}{3}

We can write this as an inequality when t = 32 F

h\geq 20-\frac{32}{3}

=h\geq \frac{28}{3}

=h\geq 9.333

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