Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
The system of exponential functions that can be used to determine the time for the profits to be the same is given by:
[tex]3000(0.985)^x = 1500(1.012)^x[/tex]
What is an exponential function?
An exponential function is modeled by:
[tex]A(t) = A(0)(1 \pm r)^t[/tex]
In which:
- A(0) is the initial value.
- r is the rate of change, as a decimal.
For the first restaurant, we have that the parameters are given as follows:
A(0) = 3000, r = -0.015.
Hence the profit after x weeks is given by:
[tex]y_1(x) = 3000(0.985)^x[/tex]
For the second restaurant, we have that:
A(0) = 1500, r = 0.012.
Hence:
[tex]y_2(x) = 1500(1.012)^x[/tex]
Then they will be equal when:
[tex]y_1(x) = y_2(x)[/tex]
[tex]3000(0.985)^x = 1500(1.012)^x[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.