Which of the following exponential regression equations best fits the data shown below?
x −4 −3 −2 −1 0 1 2 3 4
y 0.05 0.20 0.75 2.25 10 30 100 350 1250
a.
y = 5.32 • 2.23x
b.
y = 3.14 • 4.98x
c.
y = 10.84 • 1.77x
d.
y = 8.46 • 3.51x

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is