Question

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

Answer 1

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.