Question

The distance (in miles) traveled by a cyclist is given by d(t) = 5t, where t is the time in seconds. The domain of the function includes

a- all real numbers that are perfect squares
b- all positive real numbers and zero
c- all real numbers other than 5
d- all real numbers

Answer 1

b. All positive real numbers and zero

Explanation:

We are given that the distance traveled by a cyclist is given by

`d(t)=5t`

Where t=Time in seconds

We have to find the domain of the function .

We know that distance is always positive.

Given function is linear function .

We know that domain of linear function is set of all real numbers.

But t is time and t is always positive.

Therefore, domain of function includes all positive real numbers and zero.

Answer: b. All positive real numbers and zero.

Answer 2

Answer: option b - all positive real numbers and zero.

The only restriction is that the time cannot be negative (and of course, it has to be a real number, not imaginary).