We are given the function:
g(x) = 6 (4)^x
Part A.
To get the average rate of change, we use the formula:
average rate of change = [g(x2) – g(x1)] / (x2 – x1)
Section A:
average rate of change = [6 (4)^1 – 6 (4)^0] / (1 – 0) =
18
Section B:
average rate of change = [6 (4)^3 – 6 (4)^2] / (3 – 2) =
288
Part B.
288 / 18 = 16
Therefore the average rate of change of Section B is 16 times
greater than in Section A.
<span>The average rate of change is greater between x = 2 to x = 3 than between
x = 1 and x = 0 because an exponential function's rate of change increases
with increasing x (not constant).</span>
Answer:
bottom 2 shapes
Step-by-step explanation:
Categorical data are also known as the qualitative data wherein it usually describes a value of a subject as what is perceived by our senses. On the other hand, a quantitative data revolves around any variables that are considered to be measured wherein examples of which are temperature, length and width.
Answer:
<em>It would take 28 months for Gym Strong to be a better buy.</em>
Step-by-step explanation:
There are two possible options for gyms to choose from:
Gym Strong charges $350 plus $15 a month
Gym Fit charges $100 plus $24 a month.
Since Gym Strong charges less per month but has a higher initial fee, there will be some time when it will be a cheaper option than Gym Fit.
Let's solve this by analyzing the differences in fixed fees and monthly fees.
The difference of fixed fees is $350 - $100 = $250
The difference on monthly fees is $24 - $15 = $9
Both gyms will charge the same total fees when have passed 250/9 = 27.7 months. Since the number of months is a whole number, we round up.
It would take 28 months for Gym Strong to be a better buy.
Answer:
$3.17
Step-by-step explanation:
Take the $12.69 and divide it by the 4 kilograms and you get 3.17. (This is rounded)
