Question

Tallulah's cab company charges a one-time pickup fee for every ride, as well as a charge for each mile traveled. The graph below represents what Tallulah's company charges. Find the rate of change. (2, $9) and (4, $15)

Answer 1

The rate of change is $3 per mile. This means that for every additional mile traveled, the cost increases by $3.

To find the rate of change, we can use the formula:

Rate of Change=Change in Output/ Change in Input

In this case, the input is the number of miles traveled, and the output is the total cost of the ride. Let's use the points (2, $9) and (4, $15) to calculate the rate of change.

Change in Input (Δx) = 4−2=2 miles

Change in Output (Δy) = 15−9=6 dollars

Now, plug these values into the formula:

Rate of Change=Change in Output/ Change in Input = 6/ 2= 3

So, the rate of change is $3 per mile. This means that for every additional mile traveled, the cost increases by $3.