Question

The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (2,56) and (7,196) to find the number of soda bottles the machine can make each minute

Answer 1

Rate of Change

The rate of change measures how fast one variable changes in time.

In this case, we need to measure the number of soda bottles a machine can make per minute.

We can compute the rate of change by using two points (2, 56) and (7, 196).

Change of number of bottles: 196 - 56 = 140 bottles

Change in time: 7 - 2 = 5 minutes

Rate of change: 140 / 5 = 28 bottles per minute

Answer: The machine can make 28 bottles of soda each minute