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. Determine the constant rate of change of n with respect to m. Write a formula to express how Delta n and Delta m 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.) Write a formula to express how n and m are related (that expresses n in terms of m). Consider the relationship between the varying value of t and the varying value of s. Determine the constant rate of change of s with respect to t. Write a formula to express how Delta s and Delta t 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.) Write a formula to express how s and t are related (that expresses s in terms of t).

Solution

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

                                              = (-32.4-7.8)/(-5.4-1.3)=-40.2/-6.7=6

2.dm= -5.4-1.3=-6.7 and dn= -32.4-7.8=-40.2

As we see that dn= 6 dm

3. from the table we can say that n=6m