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

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

step-by-step explanation:

Answer 2

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

Step-by-step 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 =
`( y_(2) - y_(1) )/( x_(2)- x_(1) )`

We will get the slope between each two successive points:
between 1 and 2:
slope =
`(4.75-2.5)/(2-1) = 2.25`

between 2 and 3:
slope =
`(7-4.75)/(3-2) = 2.25`

between 3 and 4:
slope =
`(9.25-7)/(4-3) = 2.25`

between 4 and 5:
slope =
`(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 :)