Question

8. A woman decides to go for a 10-minute run every day this week and plans to increase the time of her daily run by 4 minutes each week. Write a formula for the time of her run after n weeks. How long will her daily run be 8 weeks from today?

Answer 1

• t(n) = 4n + 10
• 58 minutes

Explanation:

Initial value is 10 minutes and additional time is 4 minutes per week.

This is a linear function with

• y-intercept b = 10
• slope m = 4

The formula for the time of run after n weeks is

• t(n) = 4n + 10, where t(n) - run time after n weeks

Daily run time after 8 weeks is

• t(8) = 4*8 + 10 = 58 minutes