The graph below shows the relationship between minutes left and days of the month of your cellular phone plan. The relationship can be modeled by the equation $f (x) = - \frac{5}{2} x + 60$ , where $y$ is the number of minutes left and $x$ is the day of the month. Which statement is true?
There is no $x$ -intercept or $y$ -intercept.
The domain is all real numbers.
The range is all whole numbers greater than or equal to 0 and less than or equal to 60
The function has no maximum value.

Answer

Expert–verified

Hide Steps

Answer

$The range is all whole numbers greater than or equal to 0 and less than or equal to 60$

Steps

Step 1 ：Find the x-intercept and y-intercept of the function $f (x) = - \frac{5}{2} x + 60$ .

Step 2 ：The y-intercept is at $(0, 60)$ .

Step 3 ：The x-intercept is at $(24, 0)$ .

Step 4 ：The domain of the function is all real numbers.

Step 5 ：The range of the function is all whole numbers greater than or equal to 0 and less than or equal to 60.

Step 6 ：The function has no maximum value.

Step 7 ： $The range is all whole numbers greater than or equal to 0 and less than or equal to 60$