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.
Answer:
We need dimensions to answer this.
Answer:
The angle that the line makes with x-axis of of 64.3º.
Step-by-step explanation:
Equation of a line, and angle with the x axis:
The equation of a line has the following format:

In which m is the slope.
The angle that the line makes with the x axis is given by the angle which has tangent m, that is,
.
In this question:
We have that
. So

The angle that the line makes with x-axis of of 64.3º.
Answer:
k < - 1
Step-by-step explanation:
28 + 3k < 5(-3-8k)
28 + 3k < - 15 - 40k
28 + 15 < - 40k - 3k
43 < - 43k
43/- 43 > k (switch signs because 43 is negative)
k < -1