Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After running for 54 minutes, she completes 6 kilometers. Her trainer writes an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers, represent the dependent variable. Which equation can be used to represent k, the number of kilometers Julissa runs in t minutes?

k – 2 = k minus 2 equals StartFraction 1 Over 9 left-parenthesis t minus 18 right-parenthesis.(t – 18)
k – 18 = k minus 18 equals StartFraction 1 Over 9 left-parenthesis t minus 2 right-parenthesis.(t – 2)
k – 2 = 9(t – 18)
k – 18 = 9(t – 2)

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

you have orange juice on wednesday. (idk why this is the answer)

step-by-step explanation:

what is the information provided?

step-by-step explanation: