based on the given exponential functions, we can tell that C. Both functions are increasing, but function g increases at a faster average rate.
<h3 /><h3>what function is increasing faster?</h3>
function g is represented by the model:
g(x) = -18 x (1/3)^x + 2
g(x)=-18(1/3)^x In(1/3)
In1/3 < 0
this means that:
g (x) > 0
for any interval, g(x) > f(x)
this means that g is increasing at a faster rate than f which is increasing as shown by the table given in the question.
find out more on exponential functions at brainly.com/question/2456547.
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Answer:
The medicine treats swelling
Step-by-step explanation:
"The control group does not receive any medication; the treatment group receives the medication. The patients in the treatment group show reduced signs of swelling. What can Andria conclude from this experiment?"
If she does not give placebo, which she should, then we can only conclude that the medication might be effective. Might, because the thought of the medicine fixing swelling might actually be what helps them.
This takes us to the next topic- placebo experiments.
Most good experiments, to elaborate, are "double blind," one group receives a placebo, and another the medication, and neither know which.
In this case, assuming that the placebo was ineffective, we can conclude that the medicine is effective in treating swelling.
In order to find the slope of the line, we can pick two points on the line and plug them into the slope equation (y2-y1)/(x2-x1)
two points could be (-3,-3) and (0,-1)
slope = (-1 - -3)/(-3-0) = 2/3
an equation for the line can be written using the slope and the y intercept (y value when x=0)
y = (2/3)x - 1
to find the a and b values look at the graph along the x and y axis. you can also count 2 points up and 3 points left from (0,-1) until you reach that point since it has the same slope. a=3, b=1
the y coordinate when x=0 is -1 because that is the y intercept
To get the exponential model we use the form:
y=abˣ
where:
a=initial value
b=growth factor
y=number of years
thus using point (1,63) and (2,226)
the growth factor will be:
b=(226/63)=3.587~3.6
a=63
thus the formula for the function will be:
A(y)=a(3.6)^y
substituting (1,63) in the equation and solving for a.
63=a(3.6)^1
thus
a=63/3.6=17.5
hence the formula will be:
A(y)=17.82(3.6)^y
Answer: D] 17.5(3.6)^y
2] The number of acres defoliated after 5 years will be as follows:
y=5 years
A(y)=17.82(3.6)^y
plugging in the value we get:
A(y)=17.82(3.6)^5
simplifying the above
A(y)=10775.07
A(y)=10775
Answer: D
