a cold front moves in at noon and in 5 hours, the temperature had dropped 23%. the temperature at 5:00 p.m. was 14%. let x be the temperature at noon. write an equation to find x.

I will assume that you meant ° (degrees) instead of % ( percent).

I will also assume that the relationship is linear, or can be represented by a straight line.

so x - 23 = 14
x = 37

To write an equation to find the temperature at noon (denoted by x), we'll use the given information.

We know that in 5 hours, the temperature dropped by 23%. This means that at 5:00 p.m., the temperature was 100% - 23% = 77% of x. Converted into a decimal form, this is 0.77x.

Now, we also know that the temperature at 5:00 p.m. was 14%. In decimal form, this is 0.14.

Combining these two pieces of information, we can form the equation:

0.77x = 0.14

This equation represents the relationship between the temperature at noon (x) and the temperature at 5:00 p.m. (0.14).