Question1. On a cold day, Stackhouse measured the outside temperature and discovered it was 13 degrees Fahrenheit. Each hour after that, it was 3 degrees colder than the previous hour's temperature. At this rate, how many hours would it take for the temperature to reach -17 degrees Fahrenheit? (a) 4 hours (b) 9 hours (c) 10 hours (d) 30 hours

Studdy Solution

STEP 1

1. The initial temperature is 13 degrees Fahrenheit.
2. The temperature decreases by 3 degrees Fahrenheit each hour.
3. We need to find the number of hours it takes for the temperature to reach -17 degrees Fahrenheit.

STEP 2

1. Define the variables and set up the equation.
2. Solve the equation for the number of hours.

STEP 3

Define the variables and set up the equation.
Let $h$ be the number of hours it takes for the temperature to reach -17 degrees Fahrenheit.
The temperature after $h$ hours can be expressed as: $13 - 3h$
We want this temperature to be -17 degrees Fahrenheit, so we set up the equation: $13 - 3h = -17$

STEP 4

Solve the equation for the number of hours.
Subtract 13 from both sides to isolate the term with $h$ : $-3h = -17 - 13$ $-3h = -30$
Divide both sides by -3 to solve for $h$ : $h = \frac{-30}{-3}$ $h = 10$
The number of hours it takes for the temperature to reach -17 degrees Fahrenheit is: $\boxed{10}$

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