I don't understand what the function would be for the following function table:
When X is 1/Y=45
When X is 2/Y=40
When X is 3/Y=35
When X is 4/Y=30
When X is 5/Y=25
etc.
So what would the function be? I can't get it. Thanks
Yes..thanks. I did that, but now I'm stuck, for some reason, on how to write what the rule for the function would be.
The question asked:
A freezer's temperature is decreasing at a rate of 5 degrees per hour. When the temperature was first measured, it was 50 degrees.
Make a T chart to show the x/y values for all hours shown. (which I did). Then write a linear function that describes the relationship between the temp. and the time. That's the part I'm stuck on. Can you help me with this part?
y=50-5x
x(1)=50-5(1)=45
x(2)=50-5(2)=40
try doing the rest
To determine the function for the given function table, let's first observe the relationships between the values of X and Y. We can notice that as X increases, Y decreases according to a specific pattern.
In this case, the relationship between X and Y is inverse, meaning that as X increases, Y decreases at a constant rate. Looking at the pattern, we can infer that the rate of change is 5 units per increment of X.
To express this relationship as a function, we can use the equation:
Y = 50 - 5X
In this equation, the constant term 50 represents the initial value of Y when X is 0. The coefficient of -5 represents the rate at which Y decreases with each increment of X.
To verify this function, let's substitute the given values of X and compare them to the corresponding values of Y:
When X = 1:
Y = 50 - 5(1) = 50 - 5 = 45
When X = 2:
Y = 50 - 5(2) = 50 - 10 = 40
When X = 3:
Y = 50 - 5(3) = 50 - 15 = 35
When X = 4:
Y = 50 - 5(4) = 50 - 20 = 30
When X = 5:
Y = 50 - 5(5) = 50 - 25 = 25
The function Y = 50 - 5X accurately represents the given relationship between X and Y in the provided function table.