Answer:
90 seconds
Step-by-step explanation:
If James eats 32 hotdogs in 60 seconds, we want to find how long it would take James to eat 48 hotdogs.
We can use proportion to solve this problem.
If 32:60, then 48:x.
Since it will required more seconds to eat 48 hotdogs, 32 will divide.
If more, less divides.
Therefore
Therefore it will take James 90 seconds if he eats at the same rate
Answer:
a). 32000
b).
c). 1259
Step-by-step explanation:
Growth of a bacteria is always exponential. Therefore, population of the bacteria is represented by the the geometric sequence.
Sum of the bacterial population after t hours will be represented by
Where a = population at the start
r = ratio with the population is growing
n = time or duration of the growth in one hour
a). Population of 500 bacteria gets doubled after half an hour.
Or gets 4 times after an hour
This sequence will have a common ratio r = 4
and initial population a = 500
Therefore, population of the bacteria after 3 hours will be
b). After t hours number of bacteria will be represented by
c). We have to calculate the population after 40 minutes.
That means duration 't' = 40 minutes of hours
By the formula,
≈ 1259
Therefore, number of bacteria after 40 minutes will be 1259.