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?
Amount Juno Owed for a Taxi
Miles
Amount Owed (dollars)
1
2.5
2
4.75
3
7
4
9.25
5
11.5
Yes, because the amount owed changes by 1 every time the miles change by 2.25.
Yes, because the amount owed changes by 2.25 every time the miles change by 1.
No, because the amount owed does not change by 1 every time the miles change by 2.25.
No, because the amount owed does not change by 2.25 every time the miles change by 1.
Which is it A B C -or- D
Yes, because the amount owed changes by 2.25 every time the miles change by 1.
To determine if the rate of change is 2.25, we need to look at how the amount owed changes when the miles traveled change.
We can calculate the rate of change by taking the difference in the amount owed and dividing it by the difference in the miles traveled.
Let's calculate the rate of change between the first two data points:
- The amount owed changes from 2.5 dollars to 4.75 dollars, a difference of 2.25 dollars.
- The miles traveled change from 1 to 2, a difference of 1 mile.
Dividing the difference in amount owed (2.25 dollars) by the difference in miles traveled (1 mile), we get a rate of change of 2.25 dollars per mile.
Since the rate of change is 2.25 dollars per mile, the correct answer is: Yes, the rate of change is 2.25.
I did not see your choice.
Did you analyse the date to see which statement fits?