For her vacation, Blake wants to rent a bicycle to explore the city. The rental service charges a one time fee and an additional daily rate for each rental Bike. They offered two packages; $32 for a three day rental or $41 for a five day rental.

1. The one time fee and the daily rate for this rental service.

2. Write the linear function, representing the relationship between the amount of money spent on bicycle rental, and the number of days she rents the bike.

1 answer

1. Let the one time fee be represented by f and the daily rate be represented by d. From the given information, we can set up the following equations:
$32 = f + 3d
$41 = f + 5d

Solving these two equations simultaneously, we find:
f = $26
d = $2

Therefore, the one time fee is $26 and the daily rate is $2.

2. The linear function representing the relationship between the amount of money spent on bicycle rental (M) and the number of days (n) is:
M(n) = 26 + 2n