9514 1404 393
Answer:
f(x) = 0.15x +25
Step-by-step explanation:
We are given two points:
(x, y) = (180, 52) or (350, 77.50)
The slope is given by ...
m = (y2 -y1)/(x2 -x1)
m = (77.50 -52)/(350 -180) = 25.50/170 = 0.15
The y-intercept is given by ...
b = y -mx
b = 52 -0.15×180 = 25
Then the equation for the linear function is ...
f(x) = mx +b
f(x) = 0.15x +25
Answer:
(c) y>=4
y<x+5
Step-by-step explanation:
The ordered pair (0,4) is a solution
We check with each inequality, and find which inequalities makes it true
(a) y<=4
y>=x+5
Lets plug in x=0 and y=4
4<=4 its true
4 >=0+5 ---> 4>=5 its false
Both inequalities does not satisfies
(b) y<4
y<x+5
Lets plug in x=0 and y=4
4<4 its false
4 <0+5 ---> 4<5 its true
Both inequalities does not satisfies
(c) y>=4
y<x+5
Lets plug in x=0 and y=4
4>=4 its true
4 <0+5 ---> 4<5 its True
Both inequalities satisfies
Distribute 3 to x and 2.
3x+6=12
-6 -6
3x=6
Divide 3 on both sides.
x=2