Question

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 = (t – 18)
k – 18 = (t – 2)
k – 2 = 9(t – 18)
k – 18 = 9(t – 2)

Answer 1

k-2 = 1/9 (t-18)

Explanation:

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Hope this helps!

Answer 2

k-2 = 1/9 (t-18)

Explanation:

(18,2) (54,6)

slope = (k2-k1)/(t2-t1)

m = (6-2)/(54-18)

m = 4/36 = 1/9

point slope form

k-k1 = m(t-t1)

k-2 = 1/9 (t-18)

k-2 = 1/9 (t-18)