Question

A car travels at a rate of 45 miles per hour for 5 hour. Let y be the distance , in miles , the car travels for a given amount of time ,x, in hours. The situation can be modeled by a function. Which of these describe the domain of the function

Answer 1

Answer:

$0\ h\leq x\leq 5\ h$

Step-by-step explanation:

The complete question in the attached figure

Let

x ----> the time in hours

y ----> the distance in miles

In this problem we have a proportional relationship between the variables x and y

The linear equation is of the form

$y=kx$

The slope or unit rate is the same that the constant of proportionality k

The constant of proportionality is the speed of the car

so

$k=\frac{45}{5}=9\ \frac{miles}{hour}$

substitute

$y=9x$

Convert to function notation

$f(x)=9x$

The domain of the function is the interval ---> [0,5]

$0\ h\leq x\leq 5\ h$

All real numbers greater than or equal to 0 hours and less than or equal to 5 hours