1 gallon = $3 so the ratio would be 1:3 where 1 would represent the gallon and 3 the price
We have been given gross domestic product (in billions of dollars) can be approximated by
.
(a) In this part, we need to compute the derivative of this function:


(b) In this part, we need to find the value of P'(45). So, we will substitute t=45
Billion dollars per year.
(c) P'(45)=462.39 represents that 45 years after 1960, that is, in 2005, the GCP was changing at a rate of 462.39 billion dollars per year.
Answer:
b = - 14
Step-by-step explanation:
Given
-
(8 + 5b) = 75 +
b
Multiply through by 6 ( the LCM of 6 and 3 ) to clear the fractions
- 5(8 + 5b) = 450 + 10b ← distribute left side
- 40 - 25b = 450 + 10b ( subtract 10b from both sides )
- 40 - 35b = 450 ( add 40 to both sides )
- 35b = 490 ( divide both sides by - 35 )
b = - 14
Ou paint 1/3 of a wall in 1/4 hour. At that rate, how long will it take you to paint one wall? rate = (area/time)
------
rate = (1/3)/(1/4) = 4/3 job/hr
-----
time for job = 3/4 hr/job = 45 minutes to do the whole job.