Question

Sophia trains with her friend Aisha on a 5-kilometer trail near their school.

Aisha starts running right after school and runs an average of one kilometer in seven minutes.
Sophia leaves 10 minutes later and runs at a steady pace shown in the table below.
Write each function as a linear equation where x is the number of kilometers and y is the number of minutes.
Who runs faster? Explain.

Answer 1

y = 7x

y = 5.5x

Sophia

Explanation:

Given that:

Aisha runs 1 km in 7 minutes :

Aisha's function :

y = 7x

x = number of kilometers and y is the number of minutes

For Sophia :

Slope = change in y / change in x = (15.5 - 10) / (1 - 0)

Slope = 5.5

Hence, Sophia :

y = 5.5x

Hence, Sophia runs faster as she completes one kilometer in 5.5 minutes. Which is lesser Than Aisha's time. Of 7 minutes.