Question

[Constant Rate Functions/Linear Functions and Equations]1. Your local library is running a penny drive, in which members of the public donate spare pennies to the library. When you stop by to donate some pennies, you hear someone announce that she plans on donating pennies for one month in the following manner: she will donate 1 penny today, 2 pennies tomorrow, 4 pennies the next day, and continue to double the number of pennies that she donates each dayIs the relationship between days and pennies donated an example of a constant-rate relationship? How can you tell?

Answer 1

In this problem

Let

y -----> the number of pennies

x-----> the number of days

In this problem we have a exponential function of the form

y=2^(x-1)

Verify

For x=1 day

y=2^(1-1)

y=2^0

y=1

For x=2

y=2^(2-1)

y=2^1

y=2

For x=3

y=2^(3-1)

y=2^(2)

y=4

therefore

This relationship is not an example of a constant rate

Is an example of a exponential function