Question 1 (1 point) In a lab, 370 cells are present at the beginning of an experiment. During the first 9 hours, the number of cells increased by 10% each hour.
Write an exponential model giving the number of cells y present thours after starting the experiment. Estimate the time when the number of
cells is 600.
o
a
c
y = 370(1.1)
; after about 5 hours
y = 370(0.1)", after about 10 hours
y = (370. 1.1) after about 1 hour
= 370(0.9)
; after about 0.5 hour
C
1

pl I need this now

Model: y = 370 * (1.1)^t

Time for 600 cells: after about 5 hours

Step-by-step explanation:

The function that models an exponencial growth is:

y = Po * (1 + r)^t

Where y is the final value, Po is the inicial value, r is the rate and t is the time.

In this case, we have that Po = 370 and r = 10% = 0.1, so our model is:

y = 370 * 1.1^t

To find the time when the number of cells will be 600, we just need to use y = 600 and then calculate for t:

600 = 370 * 1.1^t

1.1^t = 600/370

1.1^t = 1.6216

log(1.1^t) = log(1.6216)

t * log(1.1) = log(1.6216)

t * 0.0953 = 0.4834

t = 0.4834 / 0.0953 = 5.0724 hours

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

noncoplanar points are points that do not lie on the same line.