Question

7 Write exponential functions: word problems LZW Rosa started a new subscription box service called Peaceful Pages, which mails subscribers a monthly book and tea selection. In the first month, she mailed 381 subscription boxes. Since then, Rosa has seen subscriptions increase by a factor of each month. Write an exponential equation in the form y = a(b) that can model the number of subscriptions, y, x months after Rosa started the service. Use whole numbers, decimals, or simplified fractions for the values of a and b. y = After how many months will the number of subscriptions be greater than 1,000? months​

Answer 1

The exponential equation that models the number of subscriptions, y, x months after Rosa started the service can be written as:

y = 381 * (factor)^x

To find the factor (b), you'll need more information about how much the subscriptions increase by each month.

To determine after how many months the number of subscriptions will be greater than 1,000, you'll need to solve for x in the equation:

1000 < 381 * (factor)^x

Once you know the value of the factor (b), you can solve for x using logarithms or other methods to find out how many months it takes for the subscriptions to exceed 1,000.