Consider the relationships in the following tables Which of

Consider the relationships in the following tables. Which of these relationships could be linear? Select all that apply. a. linear relationship exists between b and k a linear relationship exists between m and d a linear relationship exists between w and e If a linear relationship exists, define a formula relating the two quantities. If the relationship is not linear write DNE. i. k = syntax error ii. d = iii. e = syntax error

Solution

a linear relationship exists between b and k

as rate of change is constant

rate of change between b and k is always equal to 0

linear relationship exists between m and d

rate of change is constant and always equal to -10

linear relationship exists between w and e

since rate of change is constant and is equal to -3.3

formula for i) is k = -3.4

ii) slope = -10

d = -10m +9.9

iii) slope = -3.3

e = -3.3w-0.1