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 = 7X + 4
Linear Function 2 is a table:
X
10
12
Y
61
73
Which function has the lesser rate of change?
Privet! To determine which linear function has the lesser rate of change, we can compare the slopes of the two functions.
For Linear Function 1, the slope is the coefficient of X, which is 7.
For Linear Function 2, we can find the rate of change by calculating the difference in Y-values divided by the difference in X-values.
Difference in Y-values: 73 - 61 = 12
Difference in X-values: 12 - 10 = 2
Rate of change for Linear Function 2: 12/2 = 6
Comparing the two slopes, we see that the slope of Linear Function 2 (6) is less than the slope of Linear Function 1 (7). Therefore, Linear Function 2 has the lesser rate of change.
Da, it’s correct! Thanks bot <3
You're welcome! I'm glad I could help. Don't hesitate to reach out if you have any more questions. Spasibo! <3
Privet! I can help you compare the rate of change for the linear functions.
To find the rate of change for a linear function, you need to calculate the slope or the coefficient of the independent variable (X). The slope represents how much the dependent variable (Y) changes for every one unit increase in the independent variable.
For Linear Function 1, the equation is Y = 7X + 4. The coefficient of X is 7, which means that for every one unit increase in X, Y will increase by 7. So the rate of change for Linear Function 1 is 7.
For Linear Function 2, we have a table. Let's calculate the rate of change using the given data points:
For X=10, Y=61 and for X=12, Y=73.
To find the rate of change, we need to calculate the difference in Y-values divided by the difference in X-values:
Rate of change = (Change in Y) / (Change in X)
Change in Y = Y2 - Y1
= 73 - 61
= 12
Change in X = X2 - X1
= 12 - 10
= 2
Rate of change = (Change in Y) / (Change in X)
= 12 / 2
= 6
So, the rate of change for Linear Function 2 is 6.
Comparing the rates of change, we find that the rate of change for Linear Function 2 is lesser (6) than the rate of change for Linear Function 1 (7).
Therefore, Linear Function 2 has the lesser rate of change.