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

Answer:

the answer is A

Step-by-step explanation:

i took the test

Answer 2

Answer:

The required equation $k-2=\dfrac{1}{9}(t-18)$

C should be correct.

Step-by-step explanation:

Given: Julissa is running a 10-kilometer race at a constant pace.

After running for 18 minutes, she completes 2 kilometers.

First point: (18,2)

After running for 54 minutes, she completes 6 kilometers.

Second Point: (54,6)

We need to write an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers, represent the dependent variable

Using two point formula to find the equation of line

Formula:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

Required Equation:

$k-2=\dfrac{6-2}{54-18}(t-18)$

$k-2=\dfrac{4}{36}(t-18)$

$k-2=\dfrac{1}{9}(t-18)$

Hence, The required equation $k-2=\dfrac{1}{9}(t-18)$