Question

A student rides his bike to school with an average velocity of 10 miles per hour. It takes him 12 minutes to get to school. Write a function that models the student's distance from home. Use t for time in hours and d for distance. Then identify the domain and range of this situation using interval notation--label each one!

Answer 1

The function is
`d=10t`

domain is 0 to 0.2 hour.

range is 0 to 2 miles.

Explanation:

Given that,

Average velocity = 10 miles/hour

Time = 12 min = 0.2 hour

We need to write a function that models the student's distance from home

Using formula of distance

`d=v* t`

Where, v = velocity

t = time

d = distance

Put the value into the formula

`d=10t`

This is a function.

We know that,

Domain :

Domain shows the time.

So, domain = 0 to 0.2 hour

Range :

Range shows the distance.

The range at t =0,

Put the value of t in the function

`d = 10*0=0`

The range at t =0.2 hour

`d = 10*0=0`

`d=2\ miles`

So. range = 0 to 2 miles

Hence, The function is
`d=10t`

domain is 0 to 0.2 hour

range is 0 to 2 miles