SOLUTION: Hello. My name is Mia. I don't know how to put the following question into a rational expression. Dr. Taylor can see 10 patients in 5 hours. At this rate, how long would it tke

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Hello. My name is Mia. I don't know how to put the following question into a rational expression. Dr. Taylor can see 10 patients in 5 hours. At this rate, how long would it tke       Log On


   

Question 285433: Hello. My name is Mia. I don't know how to put the following question into a rational expression. Dr. Taylor can see 10 patients in 5 hours. At this rate, how long would it tke him to see 40 patients?

Found 2 solutions by richwmiller, josmiceli:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
10 in 5 hours
20 in 10
30 in 15
40 in 20
or 40/10=4 5*4=20
At that rate the last 20 patients have died already.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let p = total number of patients seen
Let m = rate per hour of seeing patients
Let t = time to see p patients
I can write the equation:
p+=+m%2At
m is rate, or slope
given:
m+=+10%2F5
m+=+2 patients/hr
So, the general equation is:
p+=+2t
You are asked for t when p+=+40
40+=+2t
t+=+40%2F2
t+=+20 hrs