Davis Construction Company had $7,498 11 in its
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Answer: 70 minutes
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Explanation:
x = time in minutes
y = amount of water left in thousands (eg: y = 4 means there's 4000 liters of water left)
The point (0,20) means that at the starting point 0 minutes, the tank has 20 thousand liters of water in it
The point (100,0) indicates that after 100 minutes, there is no water left
Find the slope of the line through those points (see the attached figure below). This slope is m = -1/5 = -0.2
The y intercept is b = 20 because the initial amount of water in the tank is 20 thousand liters.
Therefore, the equation of the line goes from y = mx+b to y = -0.2x+20
The last step is to plug in y = 6 and solve for x
y = -0.2x+20
6 = -0.2x+20 ...... replace y with 6
6-20 = -0.2x+20-20 .... subtract 20 from both sides
-14 = -0.2x
-0.2x = -14
-0.2x/(-0.2) = -14/(-0.2) ..... divide both sides by -0.2
x = 70
It takes 70 minutes to have 6000 liters left in the tank.
Answer:
<u>Question 1:</u>
Draw a line that crosses the largest number of dots. Then use the line to check the best prediction of the number of baseballs that will be used if 275 pitches are thrown.
<u>Question 2:</u>
A). y = 1.2x - 6
<u>Question 3:</u>
J). y =
<u>Question 4:</u>
F). f(n) = -3n + 24 *<em>Although it doesn't work when f(n) = 6 and n = 6*</em>
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Step-by-step explanation:
<u>Question 2:</u>
The line passes throught point (5, 0) and is parallel to the line whose equation is y = 1.2x + 3.8
For parallel lines, their values of slope is the same.
So our line, that passes through point (5, 0), also has a slope of 1.2
Taking another point (x, y) on our line;
Slope = change in y ÷ change in x
1.2 =
y = 1.2x - 1.2(5)
y = 1.2x - 6
<u>Question 3:</u>
The line passes x-axis at point (36, 0)
The line is perpendicular to another line whose equation is y = - + 5
For perpendicular lines, the product of their slopes = -1
Let's say the slope of our unknown line is a ;
Given: The slope of our second line is -4/9
So,
a × -4/9 = -1
a = -1 × -9/4 = 9/4
Taking another point (x, y) on our unknown line;
Slope = change in y ÷ change in x
9/4 =
Cross-multiplying that you get;
y =
<u>Question 4:</u>
The function that model that situation is f(n) = -3n + 24 though it doesn't work when f(n) = 6 and n = 6