Question

Classify each as Linear or Exponential

Answer 1

Answer:

1. Linear.

2. Exponential.

3. Exponential.

4. Linear.

Step-by-step explanation:            

We have been given some examples of functions and we are asked to classify which of the given functions are linear and exponential.

Since we know that values of a linear function changes at a constant rate, while rate of change of an exponential function is always proportional to the value of function.

Let us see our given function choices one by one.

1. Every year 39 million cars cross the Golden Gate Bridge in San Francisco.

We can see from our function that rate of change for this function is constant as every year same number of cars cross the Golden Gate Bridge, therefore, our function represented by first option is a linear function.

2. Every month a restaurant sells 2% more milkshakes to customers.

We can see from this function that rate of change is not constant as every next month the restaurant sells 2% more milkshakes than last month, therefore, the function represented in 2nd option is exponential function.

3. The number of visitors to the Eiffel Tower in Paris increases by 1.5% each year.  

We can see from this function that rate of change is not constant as every next year the number of visitors is 1.5% more than last year, therefore, the function represented in 3rd option is exponential function.

4. Each week you get $10 and add it to your savings account.

We can see from our function that rate of change for this function is constant as every next week same amount is added to savings account, therefore, our function represented by 4th option is a linear function.