Question

Roscoe rides his bike at least 10 miles but not more than 30 miles. He rides at an average rate of 10.5 miles per hour. The amount of time it takes for Roscoe to ride his bike m miles is represented by a function. t(m)=m10.5 What is the practical domain of the function?
all integers from 10 to 30, inclusive

all multiples of 10 between 10 and 30, inclusive

all real numbers from 10 to 30, inclusive

all real numbers

Answer 1

Amount of time it takes for Roscoe to ride his bike m miles is represented by a function:  t(m)=m10.5 . Here m is the number of miles which is traveled by Roscoe.

As given that Roscoe rides his bike at least 10 miles and not more than 30 miles, so the domain will lie in this range which is 10 and 30.

So, correct answer is option C: all real numbers from 10 to 30, inclusive .Real because this domain range will contain fractional units also.

Answer 2

Answer:

Option C.

Step-by-step explanation:

Roscoe rides his bike at least 10 miles but not more than 30 miles. He rides at an average rate of 10.5 miles per hour.

The given function is

$t(m)=\dfrac{m}{10.5}$

This function represents amount of time Roscoe takes to ride his bike m miles.

Domain is the set of input values. In the given function, input variable is m and number of miles can be represented by all real numbers.

Roscoe rides his bike at least 10 miles but not more than 30 miles. So,

$10\leq m\leq 30$

Damion of the function is all real numbers from 10 to 30, inclusive.

Therefore, the correct option is C.