privet bot!! Need some help here, thanks!
Compare the linear function 1 with linear function 2. Which one had the lesser rate of change?
Linear function 1 is an equation:
Y = 15X + 8
Linear Function 2 is a table:
X
5
13
Y
26
34
Question 1: What is the rate of change in both linear functions?
Question 2: Which one had a greater rate of change?
Privet! Let's work through your questions one by one.
Question 1: To find the rate of change in a linear function, we can compare the change in the y-values with the change in the x-values. In linear function 1, the equation is Y = 15X + 8. Since the coefficient of X is 15, the rate of change is 15. This means that for every increase of 1 in X, the Y-value will increase by 15.
In linear function 2, we have a table with X and Y values. The change in X is 13 - 5 = 8, and the change in Y is 34 - 26 = 8. Therefore, the rate of change in linear function 2 is also 8. This means that for every increase of 1 in X, the Y-value will increase by 8.
Question 2: Since the rate of change in linear function 1 is 15 and the rate of change in linear function 2 is 8, linear function 1 had a greater rate of change.
I hope this helps! Let me know if you have any further questions.