To find out which expression describes the temperature at noon, let's carefully analyze the given information step by step:
1. Initial Temperature:
The initial temperature at 9 a.m. is 2 degrees.
2. Temperature Rise:
By noon, the temperature increases by 3 degrees.
To find the temperature at noon, we add the temperature rise to the initial temperature. Consider each of the given expressions one by one:
1. Expression: [tex]\(2 + 3\)[/tex]
- Here, we are adding 3 degrees to the initial temperature of 2 degrees.
- This gives: [tex]\(2 + 3 = 5\)[/tex] degrees.
- This seems correct and matches the scenario.
2. Expression: [tex]\(2 + (-3)\)[/tex]
- Here, we are adding -3 degrees (which actually means a decrease of 3 degrees) to the initial temperature of 2 degrees.
- This gives: [tex]\(2 + (-3) = -1\)[/tex] degrees.
- This does not match our scenario as the temperature rises, not falls.
3. Expression: [tex]\(-2 + (-3)\)[/tex]
- Here, we are starting with an initial temperature of -2 degrees and then decreasing it by another 3 degrees.
- This gives: [tex]\(-2 + (-3) = -5\)[/tex] degrees.
- This doesn't fit our initial condition of the temperature being 2 degrees at 9 a.m.
4. Expression: [tex]\(-2 + 3\)[/tex]
- Here, we are starting with an initial temperature of -2 degrees and then increasing it by 3 degrees.
- This gives: [tex]\(-2 + 3 = 1\)[/tex] degree.
- This also doesn't fit the initial condition of 2 degrees at 9 a.m.
Given the analysis, the correct expression that describes the temperature at noon is:
[tex]\[
2 + 3
\][/tex]
Thus, the temperature at noon, based on the initial conditions provided, is correctly described by the expression [tex]\(2 + 3\)[/tex].
