Question

Alex walks from her home to the bus stop at a rate of 40 steps per minute. Write a rule thay gives her from home in steps as a funtion of time after she leaves het home

Answer 1

y = 40x

Explanation:

Given - Alex walks from her home to the bus stop at a rate of 40 steps per minute.

To find - Write a rule they gives her from home in steps as a function of time after she leaves her home.

Proof -

The function will be a linear function.

The linear function is in the format of y(x) = mx + c

Let x be the total minutes

y be the total steps

So, the rule becomes

y(x) = 40x + 0

⇒y = 40x

As she walks 40 steps in 1 minutes

So, rate of change will be 40 and constant term will be 0.