Answer:
d
Step-by-step explanation:
Given the x and y are in direct variation then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 12 when x = 4, that is
12 = 4k ( divide both sides by 4 )
3 = k
y = 3k ← equation of variation
When x = 20 , then
y = 3 × 20 = 60 → d
The total number of miles wallked = 3.74 + 5.5 = 9.25 miles.
The amount his parent donated was $175,
amount pay for each mile = 175/9.25 = $ 18.92.
We can present these coordinates in tabulate form
x y
-1 0.8
0 2
1 5
2 12.5
We work the multiplicative rate of change by finding out the increase ratio
12.5 ÷ 5 = 2.5
5 ÷ 2 = 2.5
2 ÷ 0.8 = 2.5
The ratio results in the same ratio every time, which is 2.5
The multiplicative rate of change = 2.5
9514 1404 393
Answer:
A. 0 ≤ n ≤ 7
B. the height after 0 days (the initial height in cm)
Step-by-step explanation:
<h3>A.</h3>
The plant cannot be expected to continue its exponential growth curve, so a reasonable domain is the domain of the observations already made. The plant reached its height of about 11.26 cm after about 7 days. The reasonable domain for the growth function is ...
0 ≤ n ≤ 7
__
<h3>B.</h3>
The y-intercept corresponds to the n=0 value, the height of the plant at the start of the study.
_____
<em>Additional comment</em>
The value of n that gives f(n) = 11.26 can be found using logarithms.
11.26 = 8(1.05^n)
log(11.26/8) = n·log(1.05) . . . . . . divide by 8, take logs
n = log(11.26/8)/log(1.05) ≈ 7.00582