For each table below identify the constant rate of change be

For each table below, identify the constant rate of change between the given variables. a. Consider the relationship between the varying value of m and the varying value of n. i. Determine the constant rate of change of n with respect to m. ii. Write a formula to express how An and Am are related (that expresses Delta n in terms of Delta m). (Use \"d\" to enter delta. For example, type dx+5 for Delta x + 5.) iii. Write a formula to express how n and m are related (that expresses n in terms of m). b. Consider the relationship between the varying value of t and the varying value of s. i. Determine the constant rate of change of .s with respect to t. ii. Write a formula to express how A.s and At are related (that expresses Delta s in terms of Delta t). (Use \"d\" to enter Delta. For example, type dx+5 for Delta x + 5.) iii. Write a formula to express how s and t are related (that expresses s in terms of t).

Solution

a. 1. constant rate of change = change in n / change in m

                                                = (3.4- -0.4)/(-1.7-.2)=3.8/-1.9=-2

b. change in n/change in m=2

dn/dm=2

dn= 2dm

c. from the table we can say that n= -2m