Suppose ruth ann has 3 routes she can travel between the school to the library and 5 routes from the library to her home. how many routes are there from ruth anns school to her home with a stop at the library.

a. 9
b. 60
c. 15
d. 25

Hello there!

There are 3 ways Ruth can go from high school to the library, and 5 ways she can go from the library to her home.

The number of possible combinations is equal to the product between the options of each event (where the events are going from high school to the library and going from library to her house):

3*5 = 15

Then there are 15 different routes that Ruth can take from high school to her home, where she makes a stop at the library.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

jwjwkwkwkkkdjebd b jdjejdndj he jenej