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).