The temperature in Frostport is 8°F and dtopping at the rate of 3.5 degrees per hour.How many hours will it be until the temperature is -20°F

Answer 1

We can create a linear equation to model this pattern and solve for the hours using the equation.

Step 1: Define your variables. Let x be number of hours and y be the temperature in Fahrenheit.

Step 2: Find m, the slope. In this case, the rate at which the temperature is changing. The temperature is decreasing at a rate of 3.5 degrees per hour, so the slope is -3.5.

Step 3: Find the b, y-intercept. In this case, the starting temperature. We are monitering the temperature from 8 degrees so b is 8.

Step 4: Write the equation in y = mx+b form.

y = -3.5x + 8

Step 5: Find after how many hours the temperature is -20 degrees by plugging in -20 for y (the temperature).

-20 = -3.5x + 8

-8 -8

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-28 = -3.5x

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-3.5 -3.5

8 = x

It will take 8 hours for the temperature to be -20 degrees.

Answer 2

Because the temperature is dropping by the same amount every hour, this sounds like a linear relationship:

y = -3.5x + 8

where y is the temperature and x is the number of hours.

This makes since because it starts at a temperature of 8 degrees and goes down by 3.5 degrees depending on how many hours it's been.

Then they ask how many hours it's been (x = ?) when the temperature is -20 degrees (y = -20).

So:

-20 = -3.5x + 8

-28 = -3.5x

8 = x

Answer 3

8 - 3.5*t = -20

-3.5*t = -28

t = -28/-3.5

t = 8

8 hours; then the temperature shall be -20

8 - 3.5*8 = 8 - 28 = -20