Question

Juno is taking a taxi. The table represents a linear function and shows the amount she owed after various numbers of miles traveled. Is the rate of change 2.25?

Answer 1

Check the attached image showing the table associated with the question
Answer:
Yes, because the amount owed changes by 2.25 every time the miles change by 1

Explanation:
The rate of change can be referred to as the slope of the function.
The slope can be calculated using the following formula:
slope = $\frac{ y_{2} - y_{1} }{ x_{2}- x_{1} }$

We will get the slope between each two successive points:
between 1 and 2:
slope = $\frac{4.75-2.5}{2-1} = 2.25$

between 2 and 3:
slope = $\frac{7-4.75}{3-2} = 2.25$

between 3 and 4:
slope = $\frac{9.25-7}{4-3} = 2.25$

between 4 and 5:
slope = $\frac{11.5-9.25}{5-4} = 2.25$

We can note that as the miles increase by 1, the amount charged increase by 2.25.
This means that the rate of change is 2.25

Hope this helps :)

Answer 2

Answer:    Yes because the amount owed changes by 2.25 every time the miles change by one

step-by-step explanation: