High School

Define a variable and write an expression to find the temperature after it changes. Then evaluate your expression for a decrease of 14°F from an initial temperature of 84°F.

Options:

A. [tex]\( 84 - c; \, 84 - 14 = 70 \)[/tex]°F

B. [tex]\( 84 + c; \, 84 + (-14) = 70 \)[/tex]°F

C. [tex]\( 84 + c; \, 84 + 14 = 98 \)[/tex]°F

Choose the correct expression for the temperature change.

Answer :

Certainly! Let's break down the problem step by step.

1. Define the Initial Temperature:
- Start with the initial temperature, which is given as 84°F.

2. Define the Change:
- We need to find out how the temperature changes. The problem mentions a decrease of 14 degrees.

3. Write the Expression:
- To find the new temperature after the change, we can set up an expression. If the temperature decreases, you'll subtract that number from the initial temperature.
- The expression is: initial temperature + (change in temperature). In numbers, this becomes 84 + (-14).

4. Calculate the New Temperature:
- Perform the calculation: 84 + (-14). This is the same as 84 - 14.
- When you calculate this, you get 70°F.

So, the new temperature after a decrease of 14 degrees is 70°F.

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