S T
1 7
2 9
3 11
4 13
5 15
How do I write an equation to represent the function please I need you help.
When it goes in it is 1, comes out it is 7- that is add 6. The next is add 7, then add 8, then add 9, and so on.
In slope intercept form as you increase one value of S, T increases by two so the formula can be T=2S+5
To write an equation representing the given function, we need to identify the relationship between the two variables, S and T. Looking at the given data, we can observe that the T values increase by 2 for each corresponding increase in S by 1.
Now, let's use this information to form an equation. We can start with the general form of a linear equation, which is:
T = mS + b
Here, "m" represents the slope (the rate at which T increases per unit change in S) and "b" represents the y-intercept (the value of T when S is 0).
From the given data, we can calculate the slope (m) by finding the difference in T divided by the difference in S:
m = (T2 - T1) / (S2 - S1)
Using the values from the first two data points (1, 7) and (2, 9):
m = (9 - 7) / (2 - 1)
m = 2
Since the slope of the function is 2, the equation becomes:
T = 2S + b
To find the y-intercept (b), we can substitute the values of T and S from any given data point into the equation. Let's use the first data point (1, 7):
7 = 2(1) + b
7 = 2 + b
b = 7 - 2
b = 5
Therefore, the equation that represents the given function is:
T = 2S + 5