Using a linear function, it is found that the product rs is rs = 81.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, when x changes by 68(from -64 to 68), y changes by -16(from 12 to -4), hence the slope is given by:
m = -16/64 = -0.25.
Hence:
y = -0.25x + b.
When x = 34, y = -4, hence this is used to find b.
-4 = -0.25(34) + b
b = 4.5.
Hence the function is:
y = -0.25x + 4.5.
f(r) = 0, hence:
-0.25x + 4.5 = 0
x = 4.5/0.25
x = 18
r = 18.
f (0) = s, hence s = 4.5.
Then the value of the product is:
rs = 18 x 4.5 = 81.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
y = -2.8x +69.4
Step-by-step explanation:
The 2-point form of the equation of a line can be used to find the equation of the line through points (3, 61) and (13, 33). The general form of it is ...
y = (y2-y1)/(x2-x1)·(x -x1) +y1
For the given points, this is ...
y = (33 -61)/(13 -3)·(x -3) +61
y = -28/10(x -3) +61
y = -2.8x +69.4 . . . . . the equation of the line through the given points
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<em>Comment on the problem</em>
A "line of best fit" is one that minimizes some measure of deviation from the line. Usually, what is minimized is the square of the deviations. Choosing two points to draw the line through may be convenient, but does not necessarily result in a line of best fit.
Since this is a compound interest problem, you have to take note that the amount Catherine will get per year is not the same. It will increase per year since it is compounded. So first, we get the amount after one year. This will be 7000 x 0.04 which is 280 plus 7280. In the second year, she will get 7571 (7280 x 0.04 + 7280). In the third year, she will get 7874 (7571 x 0.04 + 7571). In the fourth year, she will get 8189 (7874 x 0.04 + 7874). And finally in the fifth year, she will get 8517 (8189 x 0.04 +8189). So after five years, she has 8517
It should be noted that GDP deflator simply measures the changes in price for goods and services.
<h3>What is GDP?</h3>
Your information is incomplete as the figures aren't given. Therefore, an overview will be given.
Gross domestic product simply means the total monetary value of the finished goods and services that are produced in a country.
The formula for calculating the GDP deflator will be:
= Nominal GDP/Real GDP × 100
Also, the formula fro calculating real GDP per capita will be:
= Real GDP/Total population
In conclusion, the real GDP is the GDP of a country that has been adjusted for inflation.
Learn more about GDP on:
brainly.com/question/1383956
Step-by-step explanation:
It is given that, an air conditioning system can circulate 320 cubic feet of air per minute. We need to find how many cubic yards of air can it circulate per minute?
1 yard = 3 foot
1 feet = (1/3) yard
320 feet = 106.66 yard
So, it will circulate 11.85 cubic yard of air per minute.
