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.

y = 7x

y = 5.5x

Sophia

Step-by-step 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.

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,