T-Mobile LTE * 35% 11:16 PM imathas.rationalreasoning.net Questions Q 2 [ 10-10]

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T-Mobile LTE * 35% 11:16 PM imathas.rationalreasoning.net Questions Q 2 [ 10-10] 5[1010 Q 3 [ 1010] Q6 [1010] Q 1 [ 10-10] 4 [10/10] Q 10 (0,10) Grade: 79.1/100 Print Version For each table below, identify the constant rate between the given variables. 6.6 43.56 6.2 40.92 6.5 9.5 9.5 46 4.6 -5 7.7 50,82 .9-38.94 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. Preview ii, write a formula to express how n and are related(that expresses n in arms of Srn). (Use-d" to enter . For example, type Preview ai Write a formula to express how n and m are related (that expresses in terms of m). Preview b. Consider the relationship between the varying value of t and the varying valuc of s. i. Determine the constant rate of change of s with respect to t. Preview i. Write a formula to express how As and are related

Explanation / Answer

a)

i)

constant rate of change of n with respect to m =(6.5-(-8))/(-6.5-8)

constant rate of change of n with respect to m = -1

ii)

n/m =-1

=>n =-m

iii)

n-(-8)=[(6.5-(-8))/(-6.5-8)](m-8)

=>n+8=-1(m-8)

=>n+8=-m+8

=>n=-m

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b)

i)

constant rate of change of s with respect to t =(40.92-43.56)/(6.2-6.6)

constant rate of change of s with respect to t =6.6

ii)

s/t =6.6

=>s =6.6t

iii)

s-(43.56)=[(40.92-43.56)/(6.2-6.6)](t-6.6)

=>s-(43.56)=6.6(t-6.6)

=>s-43.56=6.6t-43.56

=>s=6.6t

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