Question

suppose y varies at a constant rate of change of 3 with respect to x. a. if x varies from x = 3.4 to x = 8.1... i. the change in x is... δx = 4.7 preview 4.7 = 4.7. ii. the corresponding change in y is... δy = enter a mathematical expression more preview b. if x varies from x = 2 to x = - 8... i. the change in x is... δx = preview ii. the corresponding change in y is... δy = preview question 7. points possible: 2 unlimited attempts. message instructor about this question post this question to forum suppose x and y vary together and are related by a constant rate of change. the graph of y in terms of x is shown below.

Explanation:

Step1: Recall rate - of - change formula

The rate of change is $\frac{\Delta y}{\Delta x}$. Given rate of change $ = 3$, so $\Delta y=3\Delta x$.

Step2: Calculate $\Delta y$ for part a

Since $\Delta x = 4.7$ in part a, then $\Delta y=3\times4.7 = 14.1$.

Step3: Calculate $\Delta x$ for part b

$\Delta x=-8 - 2=-10$.

Step4: Calculate $\Delta y$ for part b

$\Delta y=3\times(-10)=-30$.

Answer:

a. ii. $\Delta y = 14.1$
b. i. $\Delta x=-10$
b. ii. $\Delta y=-30$