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justhereforanswers13
21.09.2019 •
Mathematics
Some of the water features at sapphire island are periodically treated with a chemical that prevents algae growth. the directions for the chemical say to add 16 fluid ounces per 10,000 gallons of water. make a table that showed how much of the chemical to add for water features that hold 10,000 ,20,000 ,30,000 ,40,000; and 50,00 gallons of water.
chart:
16 --> 10,000 gallons
32 --> 20,000 gallons
48 --> 30,000 gallons
64 --> 40,000 gallons
80 --> 50,000 gallons
now what is a linear equation in two variables that models the situation. tell what each variable in the equation represents
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Ответ:
Now, we construct the linear equation using the slope-intercept form. Its equation is: y = mx + b, where m is the slope and b is the y-intercept. We can find the slope from at least two given data points. The equation would be
m = (y₂ - y₁) / (x₂ - x₁)
Let's choose two random points: Point 1 (10,000,16) and Point 2 (20,000,32). Note that the points should be written in (x.y) form. So, the slope of the line is equal to:
m = (32 - 16) / (20,000 - 10,000)
m = 1/625
So, the equation is y = x/625 + b. Now, we can determine b by using any point. Suppose we use the third data point, P(30,000, 48). Substitute this to x and y.
48 = 30,000/625 + b
b = 0
Therefore, the linear equation is: y = x/625. The variable y represents the volume of the water in gallons, and the variable x is the mass of fluid added in ounces.
Ответ:
if you put it backward you get the answer
Step-by-step explanation: