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prisoha [69]
3 years ago
14

PLZZZZ HELP The Lakeview city council is considering two different plans to help reduce the amount of pollution in the city. Pla

n Alpha estimates that it can reduce the pollution following the equation y=-7x+900. Plan Foxtrot estimates it can reduce the pollution following the equation y=-17x+900. 1. Explain why the two equations have the same y-intercept. 2. Which plan would reduce the amount of pollution the most? 3. Which plan should the city council should choose? Justify your answer.
Mathematics
1 answer:
sdas [7]3 years ago
5 0
1. The two equations follow the slope-intercept form which y=mx + b. They have the same y-intercept which is equal to 900.

2. Suppose x= 10
    Plan Alpha: y=-7x+900=-7(10)+900=830
    Plan Foxtrot: y = -17x+900 = -17(10)+900=730
    
    Between the 2 plans, the lower value is 730. Plan Foxtrot is better for reduction of pollution.

3. The city council should choose Plan Foxtrot because the reduction of pollution is much greater. Their goal would be reached faster if they go with faster reduction of pollution.
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Transform both equations in each system of equations so that each coefficient is an integer.
inysia [295]
For the first one multiply each term by the LCM of 4 and 6, which is 12:-

15x -36 = 2y..................(1)

and second multiply by 5:-

2x + y = 9..............(2)

solving:-
from equation (2) y = 9-2x,  substitute  in equation (1):-

15x - 36 = 2(9-2x) = 18 - 4x
19x = 54
x = 54/19 = 2.84

so y =  9 - 2(2.84) = 3.32


4 0
3 years ago
What is the slope of the line through (-1, -7) and (3, 9)?
monitta

Answer:

slope = 4

Step-by-step explanation:

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2 years ago
In 6 years, John will be 3 times the age he was 2 years ago. What is his current age?
Vladimir79 [104]

Answer:

John is currently 6 years old.

Step-by-step explanation:

2 years ago: x years

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EQUATION:

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7 0
3 years ago
A culture started with 3000 bacteria. After 4 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present after
Vlad [161]
Hello Shannonrodrigue. You can solve this by setting up an exponential growth equation.

A = A_ob^t
3600 = 3000b^4

Now we solve for b
3600 = 3000b^4
\frac{3600}{3000} = \frac{3000b^{4}}{3000}
\frac{6}{5} = b^4
\sqrt[4]{\frac{6}{5}} = \sqrt[4]{b^4}
\sqrt[4]{\frac{6}{5}} = b

Now that we have found b, we can use the equation A = 3000b^t to predict how many bacteria will be present after 10 hours.
b = \sqrt[4]{\frac{6}{5}}
t = 10
A = 3000b^t
A = 3000\sqrt[4]{\frac{6}{5}}^{10} = 4732.3228 = 4732

Answer = 4732



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3 years ago
Please due in 2 min NO LINKS
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Answer:

multiplication \: by \: its \: self =  > power \\ multiplication =  > product \\ addition =  > sum \\ division =  > quotient \\ substraction =  > difference \\ thank \: yo

8 0
2 years ago
Read 2 more answers
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