188k views
2 votes
Is the table exponential or linear? what's the rate of change? and the percent change

Is the table exponential or linear? what's the rate of change? and the percent change-example-1
User Valentine
by
4.2k points

1 Answer

2 votes

For linear relationships, the consecutive values of y would increase or decrease by a constant value. For exponential relationships, the ratio of consecutive values of y would always be constant.

Looking at the given table, the values of y are the amount of cobalt-56 remaining in grams.

760/1000 = 0.76

578/760 = 0.76

We can see that the ratio of consecutive y values is constant.

Therefore, the table is exponential.

The rate of change is the same the ratio of the difference between consecutive values of y to the previous value of y

Rate of change = (1000 - 760)/1000 = 240/1000 = 0.24

Percentage change = 0.24 * 100 = 24%

User Blackdad
by
4.2k points