Question:

1 answer:

6 0

A. If the population is doubling every hour the base of the exponential is 2 to the power of x. Then, the initial population is 15, so when X is o Y has to be 15. 15 is the beginning number. we get this equation:
Y=15(2^x)

B. Plug 3.5 into X:
Y=15(2^3.5)=(about) 170

C. Since it is asking what X value will 584 bacteria be present, it now gives us Y and wants us to solve for X:
584=15(2^x)
*divide by 15*
584/15=2^x
*log on both sides to get the X out of the exponent position*
log(584/15)=log(2^x)
Move X in front of log
log(584/15)=Xlog(2)
*Divide by log(2)*
Log(584/15)/log(2)=X=(about) 5.28 hours

You might be interested in

If marie wants to decorate a gift box with ribbon. She measures three pieces that she has with a ruler.They are 32. Centimeters,

Misha Larkins [42]

Answer: No, she does not have enough.

Step-by-step explanation:

1. You have the following information given in the problem above:

- The measures of the three pieces are: 32 centimeters, 41.19 centimeters and 57.8 centimeters long.

- She need 200 centimeters of ribbon for the box.

2. Therefore, you must add the measures given in the problem to know if Marie has enough ribbon to decorate the gift box. Then:

$32cm+41.19cm+57.8cm=130.99cm$